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

Time bar (total: 15.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze530.0ms (3.5%)

Memory
2.5MiB live, 709.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample6.7s (45%)

Memory
122.8MiB live, 6 971.7MiB allocated
Samples
2.8s15 862×0invalid
2.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.7s
ival-div: 1.7s (45.6% of total)
ival-mult: 1.4s (39.2% of total)
ival-acos: 252.0ms (6.9% of total)
ival-sqrt: 231.0ms (6.3% of total)
exact: 45.0ms (1.2% of total)
ival-true: 19.0ms (0.5% of total)
ival-assert: 10.0ms (0.3% of total)
Bogosity

explain393.0ms (2.6%)

Memory
-2.2MiB live, 432.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
190-1(3.75861339473211e-289 -7.743573178247939e+33 3.827485467962031e-232 3.6448886770182983e-208)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
120-4(1.6479403685468962e+47 -7.816650802901881e+189 -3.2244915808856738e+178 3.8728735919458435e+101)(*.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)
01(3.75861339473211e-289 -7.743573178247939e+33 3.827485467962031e-232 3.6448886770182983e-208)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/n160
(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow67
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow66
*.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*u80
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))o/n20
(/.f64 x (*.f64 y #s(literal 27 binary64)))overflow2
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))overflow2
*.f64(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))n*u10
Confusion
Predicted +Predicted -
+20
-25229
Precision
0.07407407407407407
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-250229
Precision?
0.07407407407407407
Recall?
1.0
Freqs
test
numberfreq
0229
127
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
128.0ms512×0valid
Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-div: 47.0ms (47.4% of total)
ival-sqrt: 31.0ms (31.3% of total)
ival-mult: 14.0ms (14.1% of total)
ival-acos: 4.0ms (4% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess235.0ms (1.6%)

Memory
-6.5MiB live, 219.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089246
1259212
2897184
33309184
43881184
54428184
65423184
77558184
87773184
97913184
01817
02917
15015
212913
340113
4132013
5281313
6311713
7380613
0835213
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))
Symmetry

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(*.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)

simplify117.0ms (0.8%)

Memory
-18.6MiB live, 215.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
cost-diff2
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
cost-diff2
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01886
02986
15076
212968
340168
4132068
5281368
6311768
7380668
0835268
Stop Event
iter limit
node limit
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
22.5MiB live, 69.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.27734375
(*.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))))
accuracy2.4058431132000275
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy4.496569561932002
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
29.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.5% of total)
ival-div: 6.0ms (33% of total)
ival-acos: 3.0ms (16.5% of total)
ival-sqrt: 2.0ms (11% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series168.0ms (1.1%)

Memory
-9.6MiB live, 35.9MiB 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
144.0ms
y
@inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
4.0ms
x
@inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms
y
@0
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms
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)))
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)))

simplify102.0ms (0.7%)

Memory
-11.1MiB live, 89.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02963
16360
219858
372858
4252458
5452758
6542058
7631958
8643158
9643558
10698358
0824958
Stop Event
iter limit
node limit
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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))

rewrite210.0ms (1.4%)

Memory
40.8MiB live, 223.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01850
02950
16342
224036
3146136
0868036
Stop Event
iter limit
node limit
iter limit
Counts
5 → 528
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 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal -1/9 binary64) z)) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal -3 binary64) y) z)) (/.f64 x #s(literal 54 binary64)))
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal -2 binary64))) (/.f64 (/.f64 x #s(literal 27 binary64)) z))
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))) (/.f64 (/.f64 x #s(literal 27 binary64)) z))
(*.f64 (neg.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64))) (/.f64 (/.f64 x #s(literal -27 binary64)) z))
(*.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (/.f64 x z) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) z) #s(literal -3 binary64))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) z) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 (/.f64 x #s(literal 54 binary64)) z))
(*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) z))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 x z) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 x z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 x y) #s(literal -54 binary64)))
(*.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) z) #s(literal -3/2 binary64))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) z) #s(literal 3/2 binary64))
(*.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) (/.f64 #s(literal -3 binary64) z))
(*.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 #s(literal -1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (neg.f64 x) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (neg.f64 x) y) z))
(*.f64 (/.f64 #s(literal 1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal -2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -3 binary64) y) z) (neg.f64 (/.f64 x #s(literal 54 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -3 binary64) y) z) (/.f64 x #s(literal 54 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -3 binary64) y) z) (/.f64 x #s(literal -54 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 x #s(literal 27 binary64)) z))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal -2 binary64)) (/.f64 (/.f64 x #s(literal -27 binary64)) z))
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(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (neg.f64 (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (sqrt.f64 t) #s(literal -2 binary64))))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 3/2 binary64) (/.f64 (sqrt.f64 t) z)))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal -3 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64))))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64))))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 (/.f64 #s(literal -3/2 binary64) z) (sqrt.f64 t)))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z))
(*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) z) y)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) y) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64))))
(*.f64 x (*.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) y) z) #s(literal 2 binary64)) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 #s(literal -1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64))))
(*.f64 x (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) z) (/.f64 (sqrt.f64 t) #s(literal -2 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -54 binary64)) z) (sqrt.f64 t)))
(/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) z) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 #s(literal 27 binary64) y)) z)
(/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) #s(literal 27 binary64)) (*.f64 y z))
(/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) y) (*.f64 #s(literal 27 binary64) z))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (neg.f64 y)) #s(literal 27 binary64))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal -27 binary64)) y)
(/.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal 27 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) y) #s(literal -27 binary64))
(/.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (neg.f64 y)) #s(literal -27 binary64))
(/.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal -27 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal 27 binary64)) y)
(/.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) y) #s(literal 27 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (neg.f64 y)) #s(literal 54 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) #s(literal -27 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (*.f64 #s(literal -27 binary64) y)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) #s(literal 27 binary64)) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) y) #s(literal -54 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) #s(literal 2 binary64)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) #s(literal 27 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) y) #s(literal 54 binary64))
(/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) y) (*.f64 #s(literal -2 binary64) z)) #s(literal 27 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z)) #s(literal 27 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -3 binary64)) (*.f64 #s(literal -2 binary64) z)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) (*.f64 #s(literal -2 binary64) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -3 binary64)) #s(literal 27 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) z))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -3 binary64)) y) (*.f64 #s(literal -54 binary64) z))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) y)) (*.f64 #s(literal -54 binary64) z))
(/.f64 (neg.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)))) (*.f64 (*.f64 z y) #s(literal -27 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z))) #s(literal -27 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z))) (*.f64 #s(literal 27 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal -54 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (sqrt.f64 t))) (*.f64 (*.f64 y #s(literal 2 binary64)) z))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/9 binary64)) (*.f64 (*.f64 y #s(literal 2 binary64)) z))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))) (*.f64 z (*.f64 #s(literal 27 binary64) y)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64))) y)
(/.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) #s(literal 27 binary64))
(/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (*.f64 (*.f64 (/.f64 x #s(literal 27 binary64)) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 (*.f64 y #s(literal 2 binary64)) z))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal -54 binary64) z))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)) #s(literal 54 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) x) (*.f64 #s(literal 54 binary64) y))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) y) (*.f64 #s(literal -54 binary64) z))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (sqrt.f64 t)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (sqrt.f64 t)) z)
(/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) z) y))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (sqrt.f64 t)) (*.f64 (*.f64 y #s(literal 2 binary64)) z))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal -54 binary64) z))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -54 binary64) z) y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/9 binary64) y) z)) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/9 binary64) y) z)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal -2 binary64) z))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (*.f64 #s(literal 27 binary64) y)))
(neg.f64 (/.f64 (*.f64 x (/.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) z)) (*.f64 #s(literal -27 binary64) y)))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (*.f64 #s(literal 54 binary64) y)))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 t) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 x z))))
(neg.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)) (*.f64 #s(literal -1/9 binary64) (/.f64 x y))))
(neg.f64 (*.f64 (/.f64 (sqrt.f64 t) #s(literal 2 binary64)) (*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 x y) z))))
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) (/.f64 x z)) (/.f64 (sqrt.f64 t) #s(literal -2 binary64))))
(neg.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) z) (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 x y) z)) (/.f64 (sqrt.f64 t) #s(literal 2 binary64))))
(neg.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal -27 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64)))))
(neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(fma.f64 (cosh.f64 (log.f64 (sqrt.f64 t))) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 t))) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(fma.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (cosh.f64 (log.f64 (sqrt.f64 t))) (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sinh.f64 (log.f64 (sqrt.f64 t)))))
(+.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 t))) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 t))) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(+.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (cosh.f64 (log.f64 (sqrt.f64 t)))) (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sinh.f64 (log.f64 (sqrt.f64 t)))))

eval108.0ms (0.7%)

Memory
-6.5MiB live, 85.2MiB allocated
Compiler

Compiled 10 344 to 2 334 computations (77.4% saved)

prune46.0ms (0.3%)

Memory
-37.0MiB live, 75.3MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5285533
Fresh000
Picked101
Done000
Total5295534
Accuracy
100.0%
Counts
534 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
97.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
98.4%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
95.9%
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
97.3%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Compiler

Compiled 354 to 228 computations (35.6% saved)

simplify133.0ms (0.9%)

Memory
32.0MiB live, 122.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z)))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
cost-diff7
(*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))
cost-diff0
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
cost-diff0
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
cost-diff0
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
cost-diff0
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
cost-diff0
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
cost-diff0
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
cost-diff0
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
cost-diff0
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
cost-diff0
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
cost-diff0
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069725
0115704
1200694
2514684
31699684
45642684
08162684
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(sqrt.f64 t)
t
#s(literal -1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(sqrt.f64 t)
t
#s(literal -1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z)))
(*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64))))
(/.f64 x y)
x
y
(*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))
#s(literal 1/9 binary64)
(pow.f64 t #s(literal 1/4 binary64))
t
#s(literal 1/4 binary64)
(/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z)
(/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
z
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x))) #s(literal 2 binary64)))) (*.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x))) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) #s(literal 3 binary64))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) #s(literal 3 binary64))
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))
(sqrt.f64 t)
t
#s(literal -1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x))) #s(literal 2 binary64))
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x))
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) y)) x)
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))
(sqrt.f64 t)
t
#s(literal -1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (sqrt.f64 t))) #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 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(/.f64 x (*.f64 z y))
(/.f64 (/.f64 x y) z)
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) y) (*.f64 #s(literal 1/9 binary64) x))
(/.f64 x y)
x
y
(*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(pow.f64 t #s(literal 1/4 binary64))
t
#s(literal 1/4 binary64)
(/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z)
(/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
z

localize392.0ms (2.6%)

Memory
-18.9MiB live, 416.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3795700195368841
(*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))
accuracy0.96875
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
accuracy2.651993730383033
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64))))
accuracy6.054581733952123
(*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))
accuracy0.27572250976844204
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
accuracy0.96875
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
accuracy2.4058431132000275
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
accuracy3.8637916828277796
(/.f64 x (*.f64 z y))
accuracy0.3125
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
accuracy0.96875
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
accuracy2.3605436787844822
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
accuracy4.49479737207811
(/.f64 (/.f64 x y) z)
accuracy0.224941259768442
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
accuracy0.96875
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
accuracy3.5946372989676956
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy4.001259571678586
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
accuracy1.0
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
accuracy1.58496250072115
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
accuracy2.3605436787844822
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
accuracy4.49479737207811
(/.f64 (/.f64 x y) z)
Samples
325.0ms256×0valid
Compiler

Compiled 693 to 64 computations (90.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
ival-mult: 55.0ms (43% of total)
ival-div: 22.0ms (17.2% of total)
ival-pow: 17.0ms (13.3% of total)
const: 13.0ms (10.2% of total)
ival-acos: 9.0ms (7% of total)
ival-pow2: 5.0ms (3.9% of total)
ival-asin: 2.0ms (1.6% of total)
ival-sub: 2.0ms (1.6% of total)
ival-sqrt: 2.0ms (1.6% of total)
ival-pi: 1.0ms (0.8% of total)
ival-add: 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)

series304.0ms (2%)

Memory
-9.6MiB live, 412.0MiB allocated
Counts
28 → 32
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z)))
(/.f64 (/.f64 x y) z)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 x (*.f64 z y))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))
Outputs
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* -1/18 (* (sqrt t) (/ x (* y z)))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(/ x (* y z))
(* (sqrt t) (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/9 (* (pow (* 1 t) 1/4) (/ x y)))
(* (sqrt t) (/ 1 (* y z)))
(* -1/18 (sqrt t))
(* 1/9 (pow (* 1 t) 1/4))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(* 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) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* 1/9 (/ (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 t))))))) y))
(* 1/9 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 t)))))))
Calls

12 calls:

TimeVariablePointExpression
78.0ms
x
@0
((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)) (* (/ 1 3) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)))) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z))) (/ (/ x y) z) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ x y) (* 1/9 (pow t 1/4))) (* 1/9 (pow t 1/4)))
40.0ms
t
@0
((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)) (* (/ 1 3) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)))) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z))) (/ (/ x y) z) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ x y) (* 1/9 (pow t 1/4))) (* 1/9 (pow t 1/4)))
26.0ms
y
@0
((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)) (* (/ 1 3) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)))) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z))) (/ (/ x y) z) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ x y) (* 1/9 (pow t 1/4))) (* 1/9 (pow t 1/4)))
26.0ms
t
@inf
((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)) (* (/ 1 3) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)))) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z))) (/ (/ x y) z) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ x y) (* 1/9 (pow t 1/4))) (* 1/9 (pow t 1/4)))
23.0ms
t
@-inf
((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)) (* (/ 1 3) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)))) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z))) (/ (/ x y) z) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* (/ x y) (* 1/9 (pow t 1/4))) (* 1/9 (pow t 1/4)))

simplify115.0ms (0.8%)

Memory
27.2MiB live, 169.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101642
1242596
2752584
32955580
47457580
08065578
Stop Event
iter limit
node limit
Counts
32 → 32
Calls
Call 1
Inputs
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* -1/18 (* (sqrt t) (/ x (* y z)))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(/ x (* y z))
(* (sqrt t) (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/9 (* (pow (* 1 t) 1/4) (/ x y)))
(* (sqrt t) (/ 1 (* y z)))
(* -1/18 (sqrt t))
(* 1/9 (pow (* 1 t) 1/4))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(* 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) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* 1/9 (/ (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 t))))))) y))
(* 1/9 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 t)))))))
Outputs
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64))
(acos (* -1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
(* 1/9 (* (pow (* 1 t) 1/4) (/ x y)))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (pow.f64 t #s(literal 1/4 binary64)))
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* -1/18 (sqrt t))
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))
(* 1/9 (pow (* 1 t) 1/4))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x 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) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* 1/9 (/ (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 t))))))) y))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)) #s(literal 1/4 binary64)) (/.f64 x y)) #s(literal 1/9 binary64))
(* 1/9 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 t)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)) #s(literal 1/4 binary64)) #s(literal 1/9 binary64))

rewrite228.0ms (1.5%)

Memory
-12.7MiB live, 310.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069459
0115459
1330451
21769443
08197443
Stop Event
iter limit
node limit
iter limit
Counts
28 → 602
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z)))
(/.f64 (/.f64 x y) z)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 x (*.f64 z y))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))
Outputs
(*.f64 (/.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))))
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64)))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 8 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64))))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 12 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 8 binary64))))
(*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y)))) #s(literal 2 binary64)))) (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
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(/.f64 (/.f64 x z) y)
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 z y)))
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) z)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 27 binary64) y)) (/.f64 x (*.f64 z #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -3 binary64) z) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64))) z) #s(literal -3/2 binary64))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) z) (/.f64 (/.f64 x #s(literal 27 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 2 binary64)) (/.f64 (/.f64 x #s(literal 27 binary64)) z))
(*.f64 (/.f64 #s(literal 1/9 binary64) z) (/.f64 (/.f64 x y) #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/9 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) (neg.f64 z)) (/.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal -3/2 binary64) (/.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64))) z))
(*.f64 #s(literal -3/2 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal -3 binary64) z))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (neg.f64 z)) #s(literal -3/2 binary64))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z) #s(literal 3/2 binary64))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) #s(literal 3 binary64))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) z))
(*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (/.f64 #s(literal -3 binary64) (*.f64 #s(literal -2 binary64) z)))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64)))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 27 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -2 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) z))))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/18 binary64))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) x))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(/.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) y)
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/18 binary64)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64))) z)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x z)) y)
(/.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 27 binary64))) #s(literal 2 binary64))
(/.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 z #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) x)) (*.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y))) (neg.f64 (*.f64 #s(literal -2 binary64) z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
(/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 z #s(literal 2 binary64)))
(neg.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (pow.f64 t #s(literal 1/8 binary64))) (pow.f64 t #s(literal 1/8 binary64)))
(*.f64 (*.f64 (/.f64 x y) (pow.f64 t #s(literal 1/4 binary64))) #s(literal 1/9 binary64))
(*.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64)) (/.f64 x y))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/9 binary64) (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 x y)))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64)))
(*.f64 x (/.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64)) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64)) (neg.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64)) x))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64)) (neg.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64)) x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64)) x) y)
(*.f64 (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/8 binary64))) (pow.f64 t #s(literal 1/8 binary64)))
(*.f64 (pow.f64 t #s(literal 1/8 binary64)) (*.f64 (pow.f64 t #s(literal 1/8 binary64)) #s(literal 1/9 binary64)))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))

eval245.0ms (1.6%)

Memory
41.0MiB live, 285.7MiB allocated
Compiler

Compiled 79 316 to 4 006 computations (94.9% saved)

prune106.0ms (0.7%)

Memory
-20.9MiB live, 72.8MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New9264930
Fresh000
Picked415
Done000
Total9305935
Accuracy
100.0%
Counts
935 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
98.4%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
95.9%
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))))
97.3%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Compiler

Compiled 328 to 164 computations (50% saved)

simplify183.0ms (1.2%)

Memory
16.6MiB live, 157.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
cost-diff0
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
cost-diff0
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
cost-diff0
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
cost-diff0
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64))))
cost-diff0
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
cost-diff7
(*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))
cost-diff0
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
cost-diff0
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
cost-diff0
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))))
cost-diff0
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
cost-diff0
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))))
cost-diff2
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01021153
01691152
12921138
27461130
321981112
462771109
087971109
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))))
(*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64))
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)))
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
(/.f64 (*.f64 #s(literal -1/18 binary64) x) y)
(*.f64 #s(literal -1/18 binary64) x)
#s(literal -1/18 binary64)
x
y
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)))
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/16 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z)))
(*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64))))
(/.f64 x y)
x
y
(*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))
#s(literal 1/9 binary64)
(pow.f64 t #s(literal 1/4 binary64))
t
#s(literal 1/4 binary64)
(/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z)
(/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
z
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
#s(literal 3 binary64)
(pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(sqrt.f64 t)
t
#s(literal -1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
(/.f64 x (*.f64 z y))
(*.f64 z y)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))))
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#s(literal 4 binary64)
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(pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 x z) #s(literal -1/18 binary64)))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 x z) #s(literal -1/18 binary64))))) #s(literal 2 binary64))
(*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))))
(*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 x z) #s(literal -1/18 binary64)))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 x z) #s(literal -1/18 binary64)))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 x z) #s(literal -1/18 binary64))))
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 x z) #s(literal -1/18 binary64)))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 x z) #s(literal -1/18 binary64)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 x z) #s(literal -1/18 binary64))))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 x z) #s(literal -1/18 binary64)))
(/.f64 x (*.f64 z y))
(*.f64 z y)
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))

localize437.0ms (2.9%)

Memory
-16.7MiB live, 270.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy2.3605436787844822
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
accuracy2.3605436787844822
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
accuracy3.8637916828277796
(/.f64 x (*.f64 z y))
accuracy4.49479737207811
(/.f64 (/.f64 x y) z)
accuracy0.3795700195368841
(*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))
accuracy0.96875
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
accuracy2.651993730383033
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64))))
accuracy6.054581733952123
(*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))
accuracy0.27572250976844204
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
accuracy0.96875
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
accuracy2.4058431132000275
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
accuracy3.8637916828277796
(/.f64 x (*.f64 z y))
accuracy0.96875
(*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64))
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy1.58496250072115
(pow.f64 (PI.f64) #s(literal 4 binary64))
accuracy7.896240504450703
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
Samples
325.0ms256×0valid
Compiler

Compiled 1 046 to 86 computations (91.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 245.0ms
ival-pow: 136.0ms (55.6% of total)
ival-mult: 41.0ms (16.8% of total)
ival-div: 19.0ms (7.8% of total)
const: 13.0ms (5.3% of total)
ival-acos: 10.0ms (4.1% of total)
ival-pow2: 9.0ms (3.7% of total)
ival-add: 4.0ms (1.6% of total)
ival-asin: 3.0ms (1.2% of total)
ival-sub: 3.0ms (1.2% of total)
ival-sqrt: 2.0ms (0.8% of total)
ival-pi: 1.0ms (0.4% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series397.0ms (2.7%)

Memory
-22.6MiB live, 277.8MiB allocated
Counts
26 → 30
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z)))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64))
(/.f64 x (*.f64 z y))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) z)
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
Outputs
(+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) (* 1/16 (pow (PI) 4)))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) (* 1/16 (pow (PI) 4)))))
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/9 (* (pow (* 1 t) 1/4) (/ x y)))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))))
(/ x (* y z))
(* 1/9 (pow (* 1 t) 1/4))
(+ (* -1 (* (pow (acos (* -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))) (* 1/16 (pow (PI) 4)))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (+ (* -1 (* (pow (acos (* -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))) (* 1/16 (pow (PI) 4)))))
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))
(* 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) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/9 (/ (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 t))))))) y))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
(* 1/9 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 t)))))))
Calls

12 calls:

TimeVariablePointExpression
91.0ms
t
@-inf
((+ (* (neg (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (pow (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (* (pow (PI) 4) 1/16)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (neg (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (pow (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)) (* 1/3 (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)))) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z))) (* (/ x y) (* 1/9 (pow t 1/4))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (* -1/18 x) y) (/ (sqrt t) z)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* 1/9 (pow t 1/4)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)))
87.0ms
x
@inf
((+ (* (neg (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (pow (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (* (pow (PI) 4) 1/16)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (neg (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (pow (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)) (* 1/3 (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)))) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z))) (* (/ x y) (* 1/9 (pow t 1/4))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (* -1/18 x) y) (/ (sqrt t) z)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* 1/9 (pow t 1/4)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)))
51.0ms
y
@0
((+ (* (neg (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (pow (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (* (pow (PI) 4) 1/16)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (neg (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (pow (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)) (* 1/3 (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)))) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z))) (* (/ x y) (* 1/9 (pow t 1/4))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (* -1/18 x) y) (/ (sqrt t) z)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* 1/9 (pow t 1/4)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)))
41.0ms
y
@inf
((+ (* (neg (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (pow (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (* (pow (PI) 4) 1/16)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (neg (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (pow (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)) (* 1/3 (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)))) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z))) (* (/ x y) (* 1/9 (pow t 1/4))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (* -1/18 x) y) (/ (sqrt t) z)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* 1/9 (pow t 1/4)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)))
33.0ms
t
@0
((+ (* (neg (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (pow (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (* (pow (PI) 4) 1/16)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (neg (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (pow (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)) (* 1/3 (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z)))) (acos (* (* (/ x y) (* 1/9 (pow t 1/4))) (/ (/ (pow t 1/4) 2) z))) (* (/ x y) (* 1/9 (pow t 1/4))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ x (* z y))))) (pow (/ (PI) 2) 2))) (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) (* (/ (* -1/18 x) y) (/ (sqrt t) z)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (/ x (* z y)) (* (/ x (* z y)) 1/18) (* 1/9 (pow t 1/4)) (/ (/ x y) z) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)))

simplify327.0ms (2.2%)

Memory
38.4MiB live, 129.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021026
1260950
2764900
32703896
46690896
08324888
Stop Event
iter limit
node limit
Counts
30 → 30
Calls
Call 1
Inputs
(+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) (* 1/16 (pow (PI) 4)))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) (* 1/16 (pow (PI) 4)))))
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/9 (* (pow (* 1 t) 1/4) (/ x y)))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))))
(/ x (* y z))
(* 1/9 (pow (* 1 t) 1/4))
(+ (* -1 (* (pow (acos (* -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))) (* 1/16 (pow (PI) 4)))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (+ (* -1 (* (pow (acos (* -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))) (* 1/16 (pow (PI) 4)))))
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))
(* 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) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/9 (/ (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 t))))))) y))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
(* 1/9 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 t)))))))
Outputs
(+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) (* 1/16 (pow (PI) 4)))
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (+ (* -1 (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2))) (* 1/16 (pow (PI) 4)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(* 1/9 (* (pow (* 1 t) 1/4) (/ x y)))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (pow.f64 t #s(literal 1/4 binary64)))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(*.f64 (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))))
(*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64))
(/ x (* y z))
(/.f64 (/.f64 x y) z)
(* 1/9 (pow (* 1 t) 1/4))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1/9 binary64))
(+ (* -1 (* (pow (acos (* -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))) (* 1/16 (pow (PI) 4)))
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (+ (* -1 (* (pow (acos (* -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))) (* 1/16 (pow (PI) 4)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(* 1/9 (/ (* x (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 t))))))) y))
(*.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)) #s(literal 1/4 binary64)) (/.f64 x y)) #s(literal 1/9 binary64))
(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))))
(* 1/3 (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64)))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
(*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64))
(* 1/9 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 t)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) t)) #s(literal 1/4 binary64)) #s(literal 1/9 binary64))

rewrite300.0ms (2%)

Memory
-35.4MiB live, 154.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102751
0169750
1494736
22920736
08489736
Stop Event
iter limit
node limit
iter limit
Counts
26 → 700
Calls
Call 1
Inputs
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z)))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64))
(/.f64 x (*.f64 z y))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))
(/.f64 (/.f64 x y) z)
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
Outputs
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 6 binary64)) (neg.f64 (*.f64 #s(literal 1/4096 binary64) (pow.f64 (PI.f64) #s(literal 12 binary64)))))) (neg.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64)) (*.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)))))) (neg.f64 (neg.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (PI.f64) #s(literal 12 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64)) (-.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))) (*.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (*.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64))))) (*.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (-.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 #s(literal 1/4096 binary64) (pow.f64 (PI.f64) #s(literal 12 binary64))))) (*.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 6 binary64)) (neg.f64 (*.f64 #s(literal 1/4096 binary64) (pow.f64 (PI.f64) #s(literal 12 binary64))))) (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64)) (*.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64))))) (neg.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (PI.f64) #s(literal 12 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (-.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4096 binary64) (pow.f64 (PI.f64) #s(literal 12 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/256 binary64) (pow.f64 (PI.f64) #s(literal 8 binary64)) (*.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))))))))
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(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (neg.f64 (sqrt.f64 t)))) (neg.f64 (*.f64 (neg.f64 y) (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t)))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (/.f64 (*.f64 x #s(literal -1/18 binary64)) y)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) z)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) y)
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 #s(literal 1/18 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) y) (neg.f64 (sqrt.f64 t))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x z)) y)
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (neg.f64 x) y)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) z)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x)) (*.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x y))) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 x #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (neg.f64 (sqrt.f64 t))) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t))) (*.f64 (neg.f64 y) z))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) z) y)
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 z y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x y)) z)
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal -1/18 binary64))
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z) (/.f64 x y))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal -1/18 binary64)) (sqrt.f64 t))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (*.f64 x #s(literal -1/18 binary64)) y))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal -1/18 binary64)))
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) y) (/.f64 (sqrt.f64 t) z))
(*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 z y)))
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (/.f64 (*.f64 x #s(literal -1/18 binary64)) y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) z))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 #s(literal 1/18 binary64) x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) y) (neg.f64 (sqrt.f64 t)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x z))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) z))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x y)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) x))) (neg.f64 (*.f64 (neg.f64 z) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 x #s(literal -1/18 binary64)))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (neg.f64 (sqrt.f64 t)))) (neg.f64 (*.f64 (neg.f64 y) (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t)))) (neg.f64 (*.f64 (neg.f64 y) z)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (/.f64 (*.f64 x #s(literal -1/18 binary64)) y)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) z)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) y)
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 #s(literal 1/18 binary64) x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) y) (neg.f64 (sqrt.f64 t))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x z)) y)
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (neg.f64 x) y)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) z)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x)) (*.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x y))) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 x #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (neg.f64 (sqrt.f64 t))) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t))) (*.f64 (neg.f64 y) z))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) z) y)
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 z y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x y)) z)

eval357.0ms (2.4%)

Memory
12.7MiB live, 252.7MiB allocated
Compiler

Compiled 118 773 to 4 276 computations (96.4% saved)

prune71.0ms (0.5%)

Memory
17.2MiB live, 64.8MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New8423845
Fresh000
Picked134
Done011
Total8437850
Accuracy
100.0%
Counts
850 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
98.4%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
95.9%
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
95.0%
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
97.4%
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
97.3%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Compiler

Compiled 668 to 296 computations (55.7% saved)

simplify190.0ms (1.3%)

Memory
-3.6MiB live, 184.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
cost-diff0
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
cost-diff2
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
cost-diff4
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))))
cost-diff0
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
cost-diff0
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
cost-diff4
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64))
cost-diff0
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
cost-diff0
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0791834
01251802
12611802
27521802
325851802
472921802
089191799
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
#s(literal 1/8 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
#s(literal -1/18 binary64)
(/.f64 x y)
x
y
(fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/3 binary64)
(-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))
#s(literal 1/16 binary64)
(pow.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))))
#s(literal 2 binary64)
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))))
(*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64))
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)))
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
(/.f64 (*.f64 #s(literal -1/18 binary64) x) y)
(*.f64 #s(literal -1/18 binary64) x)
#s(literal -1/18 binary64)
x
y
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
(neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))
(/.f64 x y)
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))
#s(literal 2 binary64)
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))))
(*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64))
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)))
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
(/.f64 (*.f64 #s(literal -1/18 binary64) x) y)
(*.f64 #s(literal -1/18 binary64) x)
#s(literal -1/18 binary64)
x
y
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))
(/.f64 x y)
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))
#s(literal 2 binary64)
Outputs
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x)))) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64))
(*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) #s(literal 3 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) #s(literal 3 binary64))))
(-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64)))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
#s(literal 1/8 binary64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) #s(literal 3 binary64))
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))
(asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
#s(literal -1/18 binary64)
(/.f64 x y)
x
y
(fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(fma.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))
(acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x)))
(*.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))
#s(literal 1/3 binary64)
(-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x)))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))
#s(literal 1/16 binary64)
(pow.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))
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(*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64))
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)))
(asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x)))
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))
(/.f64 (*.f64 #s(literal -1/18 binary64) x) y)
(*.f64 (/.f64 x y) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) x)
(*.f64 x #s(literal -1/18 binary64))
#s(literal -1/18 binary64)
x
y
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z)))
(acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
#s(literal 1/3 binary64)
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))
(-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) #s(literal 3 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x)))) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (PI.f64))
(neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x)))) #s(literal 2 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))))
(*.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))) (asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))
(acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))
(/.f64 x y)
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))
(asin.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal -1/18 binary64) z) x)))
#s(literal 2 binary64)

localize413.0ms (2.8%)

Memory
-16.6MiB live, 410.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy1.0
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
accuracy7.896240504450703
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
accuracy7.961670633568207
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy1.0051637816206538
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
accuracy7.896240504450703
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
accuracy7.961670633568207
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
accuracy0.96875
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy1.58496250072115
(pow.f64 (PI.f64) #s(literal 4 binary64))
accuracy7.961670633568207
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
Samples
294.0ms256×0valid
Compiler

Compiled 1 593 to 78 computations (95.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-mult: 64.0ms (33.9% of total)
ival-div: 55.0ms (29.2% of total)
ival-pow: 28.0ms (14.8% of total)
const: 7.0ms (3.7% of total)
ival-pow2: 7.0ms (3.7% of total)
ival-acos: 6.0ms (3.2% of total)
ival-add: 5.0ms (2.7% of total)
ival-asin: 5.0ms (2.7% of total)
ival-sub: 5.0ms (2.7% of total)
ival-sqrt: 2.0ms (1.1% of total)
ival-pi: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series113.0ms (0.8%)

Memory
35.9MiB live, 83.4MiB allocated
Counts
16 → 10
Calls
Call 1
Inputs
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
Outputs
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))
(* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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)))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
Calls

12 calls:

TimeVariablePointExpression
56.0ms
z
@0
((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) (+ (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2)))) (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (* 1/4 (* (PI) (PI))) (PI)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2)))) (* (* (/ (sqrt t) z) -1/18) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (/ (* -1/18 x) y) (/ (sqrt t) z)))
5.0ms
t
@-inf
((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) (+ (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2)))) (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (* 1/4 (* (PI) (PI))) (PI)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2)))) (* (* (/ (sqrt t) z) -1/18) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (/ (* -1/18 x) y) (/ (sqrt t) z)))
5.0ms
t
@inf
((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) (+ (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2)))) (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (* 1/4 (* (PI) (PI))) (PI)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2)))) (* (* (/ (sqrt t) z) -1/18) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (/ (* -1/18 x) y) (/ (sqrt t) z)))
5.0ms
x
@-inf
((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) (+ (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2)))) (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (* 1/4 (* (PI) (PI))) (PI)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2)))) (* (* (/ (sqrt t) z) -1/18) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (/ (* -1/18 x) y) (/ (sqrt t) z)))
5.0ms
x
@inf
((* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ (sqrt t) z) -1/18) (/ x y))) 3)) (+ (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) (* 1/4 (* (PI) (PI))))) (+ (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (PI) (PI)) (* (* (PI) (PI)) 1/16)) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2)))) (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2))) (* (* 1/4 (* (PI) (PI))) (PI)) (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/ (* (* (+ (* (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) (acos (* (/ (* -1/18 x) y) (/ (sqrt t) z)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (/ (* -1/18 x) y) (/ (sqrt t) z))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ (sqrt t) z) -1/18) (/ x y))) (asin (* (* (/ (sqrt t) z) -1/18) (/ x y)))) 2)))) (* (* (/ (sqrt t) z) -1/18) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (/ (* -1/18 x) y) (/ (sqrt t) z)))

simplify157.0ms (1%)

Memory
-24.5MiB live, 121.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061521
1136482
2429456
31858456
44725456
08175450
Stop Event
iter limit
node limit
Counts
10 → 10
Calls
Call 1
Inputs
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))
(* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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)))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
Outputs
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))))
(*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3))))
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 2) (pow (asin (* -1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(* 1/3 (/ (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))) (- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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 (*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) #s(literal 2 binary64))) (pow.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64))))
(* 1/3 (* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))))
(*.f64 (*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) #s(literal 3 binary64))))
(* (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (- (* 1/8 (pow (PI) 3)) (pow (asin (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)))
(*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) #s(literal 3 binary64))) (fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(- (* 1/16 (pow (PI) 4)) (* (pow (acos (* -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)))
(fma.f64 (neg.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) #s(literal 2 binary64))) (pow.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))

rewrite331.0ms (2.2%)

Memory
37.3MiB live, 316.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0791017
0125987
1505985
23204985
08310982
Stop Event
iter limit
node limit
iter limit
Counts
16 → 538
Calls
Call 1
Inputs
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))
Outputs
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 8 binary64)) #s(literal 1/256 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 4 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 1/4096 binary64) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 6 binary64)))) (-.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 8 binary64)) #s(literal 1/256 binary64) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64)))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 12 binary64)) #s(literal 1/4096 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 6 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 8 binary64)) #s(literal 1/256 binary64) (fma.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64)))))
(*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64)))) (/.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64)))))
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(*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 (/.f64 x y) #s(literal -1/18 binary64))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (neg.f64 y))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 #s(literal 1/18 binary64) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (sqrt.f64 t))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t))) (neg.f64 (*.f64 z y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (neg.f64 (sqrt.f64 t))) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t))) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x)) (*.f64 z (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x) (*.f64 z y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 x #s(literal -1/18 binary64))) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 z (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) x) y)
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (sqrt.f64 t)) z)
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) (*.f64 z y))

eval218.0ms (1.5%)

Memory
-6.3MiB live, 175.2MiB allocated
Compiler

Compiled 142 256 to 3 940 computations (97.2% saved)

prune50.0ms (0.3%)

Memory
-8.0MiB live, 134.9MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New7884792
Fresh000
Picked303
Done134
Total7927799
Accuracy
100.0%
Counts
799 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
98.4%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
95.9%
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
95.0%
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
97.4%
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
98.6%
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64))))))
97.3%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Compiler

Compiled 2 437 to 514 computations (78.9% saved)

regimes105.0ms (0.7%)

Memory
-9.6MiB live, 127.6MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64))))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (neg.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))) (pow.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
Outputs
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64))))))
Calls

13 calls:

40.0ms
y
12.0ms
(sqrt.f64 t)
8.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
5.0ms
(*.f64 y #s(literal 27 binary64))
5.0ms
x
Results
AccuracySegmentsBranch
98.6%1(sqrt.f64 t)
98.6%1(*.f64 z #s(literal 2 binary64))
98.6%1(*.f64 y #s(literal 27 binary64))
98.6%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.6%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.6%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.6%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.6%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.6%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.6%1x
98.6%1y
98.6%1z
98.6%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes45.0ms (0.3%)

Memory
37.9MiB live, 84.3MiB allocated
Accuracy

Total -2.9b remaining (-275.2%)

Threshold costs -2.9b (-275.2%)

Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/9 binary64) (pow.f64 t #s(literal 1/4 binary64)))) (/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64)) z))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64)))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/16 binary64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (/.f64 (*.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal 1/4 binary64) (PI.f64)) (neg.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y)))) #s(literal 2 binary64))))))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
Calls

13 calls:

5.0ms
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
3.0ms
t
3.0ms
z
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
x
Results
AccuracySegmentsBranch
98.4%1(sqrt.f64 t)
98.4%1(*.f64 z #s(literal 2 binary64))
98.4%1(*.f64 y #s(literal 27 binary64))
98.4%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.4%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.4%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.4%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.4%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.4%1x
98.4%1y
98.4%1z
98.4%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify66.0ms (0.4%)

Memory
1.9MiB live, 93.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071191
1122191
2310191
3992191
44318191
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
Outputs
#s(approx (* (/ (* (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) 3)) 1/3) (- (pow (/ (PI) 2) 4) (pow (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) 2))) (+ (* (asin (* (* (sqrt t) -1/18) (/ (/ x y) z))) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z)))) (pow (/ (PI) 2) 2))) (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal 1/16 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) z) (sqrt.f64 t)))) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))

soundness964.0ms (6.4%)

Memory
-26.9MiB live, 592.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069459
0115459
1330451
21769443
08197443
01850
02950
16342
224036
3146136
0868036
0102751
0169750
1494736
22920736
08489736
0101642
1242596
2752584
32955580
47457580
08065578
02963
16360
219858
372858
4252458
5452758
6542058
7631958
8643158
9643558
10698358
0824958
0791017
0125987
1505985
23204985
08310982
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 258 to 117 computations (54.7% saved)

preprocess38.0ms (0.3%)

Memory
37.4MiB live, 84.5MiB allocated
Remove

(sort y z)

Compiler

Compiled 786 to 344 computations (56.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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