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

Time bar (total: 17.1s)

start0.0ms (0%)

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

analyze473.0ms (2.8%)

Memory
-24.1MiB live, 308.2MiB allocated; 47ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample9.5s (55.9%)

Memory
-204.7MiB live, 7 020.0MiB allocated; 6.0s collecting garbage
Samples
5.8s15 349×0invalid
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 6.0s
ival-div: 3.9s (65.3% of total)
ival-mult: 1.5s (25.1% of total)
ival-sqrt: 265.0ms (4.4% of total)
ival-acos: 231.0ms (3.9% of total)
exact: 44.0ms (0.7% of total)
ival-true: 19.0ms (0.3% of total)
ival-assert: 10.0ms (0.2% of total)
adjust: 7.0ms (0.1% of total)
Bogosity

explain312.0ms (1.8%)

Memory
-60.1MiB live, 237.2MiB allocated; 60ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
200-3(1.358714179299619e-104 -3.0809660651665844e+215 -1.1183241974024045e-263 8.810337271110152e-116)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
101(-4.053478677088209e-272 -2.3557934761836055e+232 -1.5778370620685576e-59 4.008100633133303e+246)0-(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n150
(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow57
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow57
*.f64(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))n*u110
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))o/n20
(*.f64 y #s(literal 27 binary64))overflow1
(/.f64 x (*.f64 y #s(literal 27 binary64)))overflow2
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))overflow2
Confusion
Predicted +Predicted -
+20
-26228
Precision
0.07142857142857142
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-260228
Precision?
0.07142857142857142
Recall?
1.0
Freqs
test
numberfreq
0228
128
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
106.0ms512×0valid
Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 26.0ms (51% of total)
ival-mult: 14.0ms (27.5% of total)
ival-acos: 5.0ms (9.8% of total)
ival-sqrt: 4.0ms (7.8% of total)
exact: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess254.0ms (1.5%)

Memory
24.9MiB live, 257.2MiB allocated; 47ms collecting garbage
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
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated; 0ms collecting garbage
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)

simplify190.0ms (1.1%)

Memory
11.6MiB live, 204.2MiB allocated; 16ms collecting garbage
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

localize85.0ms (0.5%)

Memory
-9.9MiB live, 179.7MiB allocated; 39ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.25390625
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
accuracy0.97265625
(*.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))))
accuracy2.3194027525683607
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy5.132596796969077
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
74.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 12.0ms (50.1% of total)
ival-mult: 7.0ms (29.2% of total)
ival-sqrt: 2.0ms (8.3% of total)
ival-acos: 2.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series67.0ms (0.4%)

Memory
-0.3MiB live, 85.7MiB allocated; 18ms collecting garbage
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
34.0ms
t
@0
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
12.0ms
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)))

simplify130.0ms (0.8%)

Memory
-6.9MiB live, 139.0MiB allocated; 37ms collecting garbage
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))

rewrite161.0ms (0.9%)

Memory
27.1MiB live, 307.9MiB allocated; 37ms collecting garbage
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))
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(*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.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)))))

eval125.0ms (0.7%)

Memory
1.6MiB live, 200.6MiB allocated; 55ms collecting garbage
Compiler

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

prune19.0ms (0.1%)

Memory
-0.4MiB live, 45.8MiB allocated; 7ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5294533
Fresh000
Picked101
Done000
Total5304534
Accuracy
100.0%
Counts
534 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(*.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))))
43.3%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
96.6%
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
97.7%
#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 152 to 92 computations (39.5% saved)

simplify120.0ms (0.7%)

Memory
-27.1MiB live, 158.5MiB allocated; 34ms collecting garbage
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 (/.f64 x y) z))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
cost-diff1
(fma.f64 z z #s(literal 0 binary64))
cost-diff2
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
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)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064628
0105624
1202622
2621612
33630612
08289612
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (*.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 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y))
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
(/.f64 #s(literal 1/9 binary64) y)
#s(literal 1/9 binary64)
y
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 z #s(literal 3 binary64))
z
(fma.f64 z z #s(literal 0 binary64))
#s(literal 0 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))))
(/.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))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(*.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 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
(*.f64 (acos.f64 (*.f64 (*.f64 z (/.f64 z (pow.f64 z #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 1/18 binary64)))) #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 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64))))
(acos.f64 (*.f64 (*.f64 z (/.f64 z (pow.f64 z #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 1/18 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (*.f64 z (/.f64 z (pow.f64 z #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 1/18 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) #s(literal 1/18 binary64)) (pow.f64 z #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y))
(*.f64 (*.f64 #s(literal 1/9 binary64) x) (/.f64 (sqrt.f64 t) y))
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
(/.f64 #s(literal 1/9 binary64) y)
#s(literal 1/9 binary64)
y
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))
(*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 z #s(literal 3 binary64))
z
(fma.f64 z z #s(literal 0 binary64))
(*.f64 z z)
#s(literal 0 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))))
(*.f64 (/.f64 (*.f64 (fma.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.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 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.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 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.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 #s(literal -1/18 binary64) (*.f64 (/.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 #s(literal -1/18 binary64) (*.f64 (/.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 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(*.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 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.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 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.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 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.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 #s(literal -1/18 binary64) (*.f64 (/.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 (asin.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (acos.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.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))

localize253.0ms (1.5%)

Memory
3.2MiB live, 338.1MiB allocated; 71ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
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))
accuracy2.2842465025683607
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
accuracy5.048269339366435
(/.f64 (/.f64 x y) z)
accuracy0.97265625
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
accuracy3.289543320617006
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y))
accuracy10.928790150124186
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
accuracy36.760402735466855
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
accuracy0.3600387695368841
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
accuracy0.98046875
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
accuracy2.2842465025683607
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
accuracy5.048269339366435
(/.f64 (/.f64 x y) z)
accuracy0.25619125976844204
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
accuracy0.97265625
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
accuracy3.205929811375775
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy4.552913174481275
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
Samples
175.0ms256×0valid
Compiler

Compiled 628 to 64 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-mult: 43.0ms (30.5% of total)
ival-pow: 40.0ms (28.3% of total)
ival-div: 23.0ms (16.3% of total)
const: 12.0ms (8.5% of total)
ival-acos: 8.0ms (5.7% of total)
ival-pow2: 4.0ms (2.8% of total)
ival-add: 2.0ms (1.4% of total)
ival-asin: 2.0ms (1.4% of total)
ival-sub: 2.0ms (1.4% of total)
ival-sqrt: 2.0ms (1.4% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series216.0ms (1.3%)

Memory
9.2MiB live, 400.9MiB allocated; 49ms collecting garbage
Counts
23 → 32
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (acos.f64 (*.f64 (*.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 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
(fma.f64 z z #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 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))))
(/.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 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (/.f64 x y) z)
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y))
(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))
Outputs
(* 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))))
(* 1/18 (* (sqrt t) (/ x (* y (pow z 3)))))
(* 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))
(* (sqrt t) (/ x (* y z)))
(/ x (* y z))
(* 1/9 (* (sqrt t) (/ x y)))
(* (sqrt t) (/ 1 (* y z)))
(pow z 2)
(* -1/18 (sqrt t))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* 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)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y (pow z 3)))))
(* 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 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* -1/9 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
Calls

12 calls:

TimeVariablePointExpression
40.0ms
y
@0
((* (/ 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) (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0) (* (/ 1 3) (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z 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))) (/ (* (- (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)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)) (* (* (sqrt t) x) (/ 1/9 y)) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3))
36.0ms
x
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0) (* (/ 1 3) (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z 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))) (/ (* (- (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)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)) (* (* (sqrt t) x) (/ 1/9 y)) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3))
28.0ms
z
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0) (* (/ 1 3) (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z 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))) (/ (* (- (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)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)) (* (* (sqrt t) x) (/ 1/9 y)) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3))
18.0ms
y
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0) (* (/ 1 3) (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z 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))) (/ (* (- (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)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)) (* (* (sqrt t) x) (/ 1/9 y)) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3))
16.0ms
t
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) 1/3) (acos (* (* (sqrt t) -1/18) (/ (/ x y) z))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (sqrt t) -1/18) (/ 1 3) (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0) (* (/ 1 3) (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z 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))) (/ (* (- (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)) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)) (* (* (sqrt t) x) (/ 1/9 y)) (pow (/ (PI) 2) 4) (pow (/ (PI) 2) 3))

simplify161.0ms (0.9%)

Memory
18.1MiB live, 202.2MiB allocated; 27ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099634
1232590
2725580
33495580
47339580
08053578
Stop Event
iter limit
node limit
Counts
32 → 32
Calls
Call 1
Inputs
(* 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))))
(* 1/18 (* (sqrt t) (/ x (* y (pow z 3)))))
(* 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))
(* (sqrt t) (/ x (* y z)))
(/ x (* y z))
(* 1/9 (* (sqrt t) (/ x y)))
(* (sqrt t) (/ 1 (* y z)))
(pow z 2)
(* -1/18 (sqrt t))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* 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)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y (pow z 3)))))
(* 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 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* -1/9 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
Outputs
(* 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 #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 (* (sqrt t) (/ x (* y (pow z 3)))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x (pow.f64 z #s(literal 3 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 #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 (* 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 #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 (* 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 (* 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)))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 1/9 (* (sqrt t) (/ x y)))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (sqrt.f64 t))
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(pow z 2)
(*.f64 z z)
(* -1/18 (sqrt t))
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.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 #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 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y (pow z 3)))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x (pow.f64 z #s(literal 3 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 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* -1/9 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (sqrt.f64 t))

rewrite217.0ms (1.3%)

Memory
5.1MiB live, 329.7MiB allocated; 44ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064375
0105372
1341370
22171362
08452362
Stop Event
iter limit
node limit
iter limit
Counts
23 → 556
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (acos.f64 (*.f64 (*.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 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
(fma.f64 z z #s(literal 0 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 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))))
(/.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 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (/.f64 x y) z)
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y))
(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))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
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(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (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)))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))))))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 8 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64))
(/.f64 (fabs.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64))) #s(literal 8 binary64))
(/.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 8 binary64))
(/.f64 (pow.f64 (neg.f64 (neg.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (neg.f64 (PI.f64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (*.f64 (PI.f64) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (neg.f64 (PI.f64))) #s(literal -2 binary64))
(/.f64 (*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal -8 binary64))
(/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 8 binary64))
(neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 6 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))
(fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64) (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))))

eval334.0ms (2%)

Memory
-16.3MiB live, 380.4MiB allocated; 76ms collecting garbage
Compiler

Compiled 62 730 to 3 372 computations (94.6% saved)

prune72.0ms (0.4%)

Memory
-17.4MiB live, 127.2MiB allocated; 14ms collecting garbage
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New7865791
Fresh000
Picked314
Done000
Total7896795
Accuracy
100.0%
Counts
795 → 6
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))))
98.4%
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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))))
96.6%
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
43.3%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
96.7%
#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 #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)))))
98.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Compiler

Compiled 827 to 407 computations (50.8% saved)

simplify158.0ms (0.9%)

Memory
26.8MiB live, 252.3MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))))
cost-diff0
(*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
cost-diff0
(/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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))))
cost-diff0
(*.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))))
cost-diff0
(/.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))))
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 #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)))))
cost-diff2
(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)))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64))))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
cost-diff1
(fma.f64 z z #s(literal 0 binary64))
cost-diff2
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
cost-diff0
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))
cost-diff0
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64)))
cost-diff0
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 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 (sqrt.f64 t) (*.f64 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 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01201653
02011649
13731641
210631631
348571631
083071631
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 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))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x)
(/.f64 (sqrt.f64 t) (*.f64 z y))
(sqrt.f64 t)
t
(*.f64 z y)
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y))
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
(/.f64 #s(literal 1/9 binary64) y)
#s(literal 1/9 binary64)
y
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(fma.f64 z z #s(literal 0 binary64))
#s(literal 0 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 #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)))))
(/.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))))
(*.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))))
(*.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))
(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)))
(asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))
#s(literal -1/18 binary64)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
(/.f64 x y)
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))
(*.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 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 #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)))
(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 (asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 2 binary64))
#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))
(pow.f64 (PI.f64) #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/16 binary64)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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))
(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))
(asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
#s(literal 1/18 binary64)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
(/.f64 x y)
x
y
#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))
(/.f64 (PI.f64) #s(literal 2 binary64))
#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 (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))))
(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))
#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))
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 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))) #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 #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) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))
(/.f64 x (*.f64 z y))
(/.f64 (/.f64 x y) z)
(*.f64 z y)
(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 (sqrt.f64 t) (*.f64 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 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64)))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x)
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z))
(/.f64 (sqrt.f64 t) (*.f64 z y))
(/.f64 (/.f64 (sqrt.f64 t) y) z)
(sqrt.f64 t)
t
(*.f64 z y)
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
(*.f64 (acos.f64 (*.f64 (*.f64 z (/.f64 z (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64))))
(acos.f64 (*.f64 (*.f64 z (/.f64 z (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 1/18 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (*.f64 z (/.f64 z (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 1/18 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 1/18 binary64)) (pow.f64 z #s(literal 3 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y))
(*.f64 (*.f64 #s(literal 1/9 binary64) x) (/.f64 (sqrt.f64 t) y))
(*.f64 (sqrt.f64 t) x)
(*.f64 x (sqrt.f64 t))
(sqrt.f64 t)
t
x
(/.f64 #s(literal 1/9 binary64) y)
#s(literal 1/9 binary64)
y
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))
(*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
(fma.f64 z z #s(literal 0 binary64))
(*.f64 z z)
#s(literal 0 binary64)
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(pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))))
(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) y) (*.f64 (/.f64 (sqrt.f64 t) z) x)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (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 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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) y) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (asin.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) (*.f64 (/.f64 (sqrt.f64 t) z) 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))

localize349.0ms (2%)

Memory
-4.9MiB live, 575.5MiB allocated; 50ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.58496250072115
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
accuracy2.2842465025683607
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
accuracy5.048269339366435
(/.f64 (/.f64 x y) z)
accuracy7.7336869813186455
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
accuracy0.9765625
(*.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))
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy1.58496250072115
(pow.f64 (PI.f64) #s(literal 4 binary64))
accuracy7.72159343602129
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
accuracy0.97265625
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
accuracy3.289543320617006
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y))
accuracy10.928790150124186
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
accuracy36.760402735466855
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
accuracy0.25619125976844204
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))
accuracy0.97265625
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
accuracy3.7428637992958036
(/.f64 (sqrt.f64 t) (*.f64 z y))
accuracy4.552913174481275
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x)
accuracy2.2842465025683607
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
accuracy2.2842465025683607
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
accuracy4.8888450019889484
(/.f64 x (*.f64 z y))
accuracy5.048269339366435
(/.f64 (/.f64 x y) z)
Samples
209.0ms256×0valid
Compiler

Compiled 1 493 to 100 computations (93.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-mult: 46.0ms (29.1% of total)
ival-div: 33.0ms (20.9% of total)
ival-pow: 23.0ms (14.6% of total)
const: 15.0ms (9.5% of total)
ival-acos: 11.0ms (7% of total)
ival-pow2: 10.0ms (6.3% of total)
ival-add: 5.0ms (3.2% of total)
ival-asin: 5.0ms (3.2% of total)
ival-sub: 4.0ms (2.5% of total)
ival-sqrt: 2.0ms (1.3% of total)
ival-pi: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series208.0ms (1.2%)

Memory
13.6MiB live, 156.3MiB allocated; 19ms collecting garbage
Counts
34 → 34
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 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)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
(fma.f64 z z #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 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)))
#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 #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)))))
(/.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))))
(*.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))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x)
(/.f64 (sqrt.f64 t) (*.f64 z y))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 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))))
(* 1/18 (* (sqrt t) (/ x (* y (pow 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 (* (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))))
(/ x (* y z))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x (* y z)))
(* 1/9 (* (sqrt t) (/ x y)))
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))))
(* (sqrt t) (/ 1 (* y z)))
(pow 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))) (- (* 1/16 (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))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y (pow 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 (* (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))))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* -1/9 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(* 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))))))))
Calls

12 calls:

TimeVariablePointExpression
50.0ms
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 (* 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 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) (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0) (* 1/3 (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)))) (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0))) (+ (* (neg (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (pow (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 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 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (+ (* (neg (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (pow (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (* (/ (* (- (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)) (/ (/ x y) z) (/ x (* z y)) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (sqrt t) (* z y)) x) (/ (sqrt t) (* z y)) (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)) (* (* (sqrt t) x) (/ 1/9 y)) (* (* -1/18 (/ (sqrt t) z)) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (pow (/ (PI) 2) 4))
42.0ms
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 (* 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 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) (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0) (* 1/3 (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)))) (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0))) (+ (* (neg (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (pow (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 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 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (+ (* (neg (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (pow (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (* (/ (* (- (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)) (/ (/ x y) z) (/ x (* z y)) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (sqrt t) (* z y)) x) (/ (sqrt t) (* z y)) (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)) (* (* (sqrt t) x) (/ 1/9 y)) (* (* -1/18 (/ (sqrt t) z)) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (pow (/ (PI) 2) 4))
28.0ms
y
@-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 (* 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 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) (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0) (* 1/3 (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)))) (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0))) (+ (* (neg (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (pow (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 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 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (+ (* (neg (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (pow (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (* (/ (* (- (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)) (/ (/ x y) z) (/ x (* z y)) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (sqrt t) (* z y)) x) (/ (sqrt t) (* z y)) (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)) (* (* (sqrt t) x) (/ 1/9 y)) (* (* -1/18 (/ (sqrt t) z)) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (pow (/ (PI) 2) 4))
11.0ms
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 (* 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 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) (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0) (* 1/3 (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)))) (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0))) (+ (* (neg (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (pow (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 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 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (+ (* (neg (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (pow (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (* (/ (* (- (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)) (/ (/ x y) z) (/ x (* z y)) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (sqrt t) (* z y)) x) (/ (sqrt t) (* z y)) (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)) (* (* (sqrt t) x) (/ 1/9 y)) (* (* -1/18 (/ (sqrt t) z)) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (pow (/ (PI) 2) 4))
10.0ms
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 (* 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 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) (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0) (* 1/3 (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)))) (acos (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0))) (+ (* (neg (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (pow (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 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 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (+ (* (neg (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (pow (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 2)) (* (pow (PI) 4) 1/16))) (* (* (+ (* (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (* (/ (* (- (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)) (/ (/ x y) z) (/ x (* z y)) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)) (* (/ (sqrt t) (* z y)) x) (/ (sqrt t) (* z y)) (* (/ (* (* (sqrt t) x) (/ 1/9 y)) (* 2 (pow z 3))) (+ (* z z) 0)) (* (* (sqrt t) x) (/ 1/9 y)) (* (* -1/18 (/ (sqrt t) z)) (/ x y)) (pow (PI) 4) (pow (PI) 3) (* (+ (* (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (* (* 1/18 (/ (sqrt t) z)) (/ x y)) (pow (/ (PI) 2) 4))

simplify147.0ms (0.9%)

Memory
19.6MiB live, 114.6MiB allocated; 53ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01061050
1272948
2891924
33847924
08011916
Stop Event
iter limit
node limit
Counts
34 → 34
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))))
(* 1/18 (* (sqrt t) (/ x (* y (pow 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 (* (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))))
(/ x (* y z))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x (* y z)))
(* 1/9 (* (sqrt t) (/ x y)))
(* 1/3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* -1/18 (* (sqrt t) (/ x (* y z))))))))
(* (sqrt t) (/ 1 (* y z)))
(pow 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))) (- (* 1/16 (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))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y (pow 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 (* (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))))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(* -1/9 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(* 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))))))))
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 #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 (* 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 #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 (* 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 (* 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 (* 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 (* (sqrt t) (/ x (* y (pow z 3)))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x (pow.f64 z #s(literal 3 binary64))))
(+ (* -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 #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 (* 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 #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 (* 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 #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))))
(/ x (* y z))
(/.f64 (/.f64 x y) z)
(* -1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))
(* 1/9 (* (sqrt t) (/ x y)))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t))
(* 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 #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))
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(pow z 2)
(*.f64 z 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 #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 #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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y (pow z 3)))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x (pow.f64 z #s(literal 3 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 (* (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))))
(* 1/18 (* (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 (* (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 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t))
(* 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))

rewrite267.0ms (1.6%)

Memory
-7.7MiB live, 186.1MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01201021
02011017
16071009
23842997
08290997
Stop Event
iter limit
node limit
iter limit
Counts
34 → 707
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 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)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))))
(fma.f64 z z #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 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)))
#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 #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)))))
(/.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))))
(*.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))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64)))) #s(literal 1/3 binary64))
#s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x)
(/.f64 (sqrt.f64 t) (*.f64 z y))
(*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))
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(/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))))) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64) (*.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 1/3 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))))))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(+.f64 (*.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 1/3 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))))) (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))))))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)) x)
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 #s(literal 1/18 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)))
(*.f64 x (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 1/18 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 z y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 z y))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 x)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) x) y)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 4 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 8 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(*.f64 (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)))
(*.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(pow.f64 (neg.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))
(exp.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)))))

eval269.0ms (1.6%)

Memory
-18.7MiB live, 168.8MiB allocated; 19ms collecting garbage
Compiler

Compiled 83 983 to 3 653 computations (95.7% saved)

prune33.0ms (0.2%)

Memory
6.8MiB live, 54.2MiB allocated; 1ms collecting garbage
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New8074811
Fresh000
Picked415
Done011
Total8116817
Accuracy
100.0%
Counts
817 → 6
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 x (*.f64 z y)))) (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))))
96.6%
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
43.0%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z))))
96.7%
#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 #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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))))
98.2%
#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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))
98.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Compiler

Compiled 487 to 223 computations (54.2% saved)

simplify127.0ms (0.7%)

Memory
7.7MiB live, 53.8MiB allocated; 3ms collecting garbage
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 x (*.f64 z y)))) (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 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z))))
cost-diff2
(/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))))
cost-diff0
(/.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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 #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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01081724
01881702
13571694
29651694
346611694
081581694
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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))
(asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 x y) #s(literal -1/18 binary64))
(/.f64 x y)
x
y
#s(literal -1/18 binary64)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
(fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
#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 #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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))))
(/.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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))
(*.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))))
(*.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))
(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)))
(asin.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))
#s(literal -1/18 binary64)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
(/.f64 x y)
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))
(*.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 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 x y) #s(literal -1/18 binary64))
(asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
#s(literal 2 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z)))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z))
(/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 1/9 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))
y
(*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 z #s(literal 3 binary64))
z
#s(literal 3 binary64)
#s(literal 2 binary64)
(*.f64 z 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 x (*.f64 z y)))) (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 x (*.f64 z y)))) (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)))
(asin.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)
(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))
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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) 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 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) #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 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) 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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) 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 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) #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 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) 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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64))
(*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) 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 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (*.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 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) #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 x y) #s(literal -1/18 binary64)) (/.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 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) #s(literal 3 binary64))
(asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y)))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))
(*.f64 (/.f64 x y) #s(literal -1/18 binary64))
(/.f64 x y)
x
y
#s(literal -1/18 binary64)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
(fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))))
(fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y)))
(*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y)))) #s(literal 2 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))))
#s(literal 2 binary64)
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(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))
(*.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)))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y)))) #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 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y)))) #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 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z)))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))
(asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))))
(asin.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y))
(/.f64 x (*.f64 z y))
(/.f64 (/.f64 x y) z)
(*.f64 z y)
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y))))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) (/.f64 #s(literal -1/18 binary64) y)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))

localize438.0ms (2.6%)

Memory
-8.7MiB live, 285.1MiB allocated; 31ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy2.2842465025683607
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))
accuracy2.2842465025683607
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
accuracy4.8888450019889484
(/.f64 x (*.f64 z y))
accuracy5.048269339366435
(/.f64 (/.f64 x y) z)
accuracy0.97265625
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z))))
accuracy5.833820956980727
(*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))
accuracy7.674883664982094
(/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))))
accuracy36.760402735466855
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z))
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))
accuracy7.72159343602129
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
accuracy7.801059147376738
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))
accuracy0.9765625
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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))
accuracy7.801059147376738
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))
Samples
337.0ms256×0valid
Compiler

Compiled 1 566 to 92 computations (94.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 296.0ms
ival-mult: 107.0ms (36.1% of total)
ival-pow: 69.0ms (23.3% of total)
ival-pow2: 66.0ms (22.3% of total)
ival-div: 13.0ms (4.4% of total)
ival-acos: 10.0ms (3.4% of total)
const: 10.0ms (3.4% of total)
ival-asin: 6.0ms (2% of total)
ival-add: 5.0ms (1.7% of total)
ival-sub: 5.0ms (1.7% of total)
ival-sqrt: 2.0ms (0.7% of total)
ival-pi: 1.0ms (0.3% of total)
exact: 1.0ms (0.3% of total)
ival-neg: 1.0ms (0.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series127.0ms (0.7%)

Memory
15.6MiB live, 61.7MiB allocated; 6ms collecting garbage
Counts
25 → 26
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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 #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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))))
(/.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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z)))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z 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 x (*.f64 z y)))) (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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x 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)))))
(* 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 (pow 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 (/ (- (* 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))))
(/ x (* y z))
(* 2 (* y (pow z 3)))
(* 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 (pow 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 (/ (- (* 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))))
Calls

12 calls:

TimeVariablePointExpression
48.0ms
y
@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 (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 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 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2)))) (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* 1/3 (acos (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z)))) (acos (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z))) (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z)) (* (/ (* (- (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 (* z y)))) (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)) (* (* (/ x y) -1/18) (/ (sqrt t) z)) (pow (PI) 4) (pow (PI) 3) (* (* -1/18 (/ (sqrt t) z)) (/ x y)) (* y (* (pow z 3) 2)) (/ (/ x y) z) (/ x (* z y)) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)))
7.0ms
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 (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 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 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2)))) (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* 1/3 (acos (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z)))) (acos (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z))) (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z)) (* (/ (* (- (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 (* z y)))) (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)) (* (* (/ x y) -1/18) (/ (sqrt t) z)) (pow (PI) 4) (pow (PI) 3) (* (* -1/18 (/ (sqrt t) z)) (/ x y)) (* y (* (pow z 3) 2)) (/ (/ x y) z) (/ x (* z y)) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)))
7.0ms
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 (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 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 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2)))) (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* 1/3 (acos (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z)))) (acos (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z))) (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z)) (* (/ (* (- (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 (* z y)))) (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)) (* (* (/ x y) -1/18) (/ (sqrt t) z)) (pow (PI) 4) (pow (PI) 3) (* (* -1/18 (/ (sqrt t) z)) (/ x y)) (* y (* (pow z 3) 2)) (/ (/ x y) z) (/ x (* z y)) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)))
7.0ms
y
@-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 (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 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 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2)))) (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* 1/3 (acos (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z)))) (acos (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z))) (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z)) (* (/ (* (- (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 (* z y)))) (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)) (* (* (/ x y) -1/18) (/ (sqrt t) z)) (pow (PI) 4) (pow (PI) 3) (* (* -1/18 (/ (sqrt t) z)) (/ x y)) (* y (* (pow z 3) 2)) (/ (/ x y) z) (/ x (* z y)) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)))
7.0ms
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 (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (- (* 1/16 (pow (PI) 4)) (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2))) (* (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) 1/3) (* (- (* 1/8 (pow (PI) 3)) (pow (asin (* (* (/ x y) -1/18) (/ (sqrt t) z))) 3)) (+ (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) (* 1/4 (* (PI) (PI))))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 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 (/ (sqrt t) z)) (/ x y))) (acos (* (* -1/18 (/ (sqrt t) z)) (/ x y)))) (* (* (PI) (PI)) 1/4)) 1/3) (- (* (pow (PI) 3) 1/8) (pow (asin (* (* -1/18 (/ (sqrt t) z)) (/ x y))) 3))) (+ (* (* (* 1/4 (* (PI) (PI))) (PI)) (* 1/4 (PI))) (neg (pow (* (acos (* (* (/ x y) -1/18) (/ (sqrt t) z))) (asin (* (* (/ x y) -1/18) (/ (sqrt t) z)))) 2)))) (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* 1/3 (acos (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z)))) (acos (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z))) (* (/ (* 1/9 (* x (sqrt t))) (* y (* (pow z 3) 2))) (* z z)) (* (/ (* (- (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 (* z y)))) (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)) (* (* (/ x y) -1/18) (/ (sqrt t) z)) (pow (PI) 4) (pow (PI) 3) (* (* -1/18 (/ (sqrt t) z)) (/ x y)) (* y (* (pow z 3) 2)) (/ (/ x y) z) (/ x (* z y)) (* (* (sqrt t) -1/18) (/ x (* z y))) (* (* (sqrt t) -1/18) (/ (/ x y) z)))

simplify160.0ms (0.9%)

Memory
3.3MiB live, 144.8MiB allocated; 13ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081850
1192790
2611750
32830750
46126750
08074744
Stop Event
iter limit
node limit
Counts
26 → 26
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 (pow 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 (/ (- (* 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))))
(/ x (* y z))
(* 2 (* y (pow z 3)))
(* 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 (pow 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 (/ (- (* 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))))
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 #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 (* 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 #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))))
(* (+ (* 1/4 (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 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))) (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))))
(- (* 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 #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)))
(* 1/18 (* (sqrt t) (/ x (* y (pow z 3)))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x (pow.f64 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 (/ (- (* 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 #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 (* 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 (* 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 (* y z))))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* 2 (* y (pow z 3)))
(*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 2 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))))
(*.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))))
(* (+ (* 1/4 (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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 3 binary64))) (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))))
(- (* 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 #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)))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y (pow z 3)))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x (pow.f64 z #s(literal 3 binary64))))
(* 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x 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)))))
(*.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 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))

rewrite256.0ms (1.5%)

Memory
12.7MiB live, 289.0MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0108960
0188942
1601930
23350930
08390930
Stop Event
iter limit
node limit
iter limit
Counts
25 → 685
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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))))
(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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 #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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))))
(/.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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z)))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z 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 x (*.f64 z y)))) (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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(pow.f64 (PI.f64) #s(literal 4 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) 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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)))) (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (*.f64 (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (*.f64 (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z)))) #s(literal 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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z)))) #s(literal 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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (*.f64 (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z)))) #s(literal 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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (*.f64 (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z)))) #s(literal 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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z)))) #s(literal 4 binary64)))))
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(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)) #s(literal -1/18 binary64))
(*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))
(*.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 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 (/.f64 x y) #s(literal -1/18 binary64)))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)))
(*.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 (*.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 (sqrt.f64 t)) (*.f64 (/.f64 x y) #s(literal -1/18 binary64))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) y)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))) (neg.f64 y))
(/.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 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 x #s(literal -1/18 binary64))) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t))) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) (*.f64 z y))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 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 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) x) y)
(*.f64 (*.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 2 binary64))
(*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) y))
(*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 z) y)))
(/.f64 (/.f64 x z) y)
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) y))
(/.f64 (/.f64 (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 z) y)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 z)))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 z) y)))
(/.f64 (/.f64 x z) y)
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) y))
(/.f64 (/.f64 (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 z) y)))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 z)))
(*.f64 (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal -1/18 binary64))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)) #s(literal -1/18 binary64))
(*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))
(*.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 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 (/.f64 x y) #s(literal -1/18 binary64)))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)))
(*.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 (*.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 (sqrt.f64 t)) (*.f64 (/.f64 x y) #s(literal -1/18 binary64))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) y)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))) (neg.f64 y))
(/.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 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 x #s(literal -1/18 binary64))) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t))) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) (*.f64 z y))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 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 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) x) y)
(*.f64 (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal -1/18 binary64))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)) #s(literal -1/18 binary64))
(*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)) (sqrt.f64 t))
(*.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 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 (/.f64 x y) #s(literal -1/18 binary64)))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) z) #s(literal -1/18 binary64)))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 x y) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)))
(*.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 (*.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 (sqrt.f64 t)) (*.f64 (/.f64 x y) #s(literal -1/18 binary64))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) y)
(/.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64))) (neg.f64 y))
(/.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 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) x)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) (*.f64 x #s(literal -1/18 binary64))) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (neg.f64 (sqrt.f64 t))) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) (*.f64 z y))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 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 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) x) y)

eval279.0ms (1.6%)

Memory
-15.2MiB live, 281.9MiB allocated; 70ms collecting garbage
Compiler

Compiled 134 720 to 4 433 computations (96.7% saved)

prune59.0ms (0.3%)

Memory
-4.5MiB live, 88.8MiB allocated; 6ms collecting garbage
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New8624866
Fresh000
Picked404
Done022
Total8666872
Accuracy
100.0%
Counts
872 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1/3 binary64))
43.0%
(*.f64 (acos.f64 (*.f64 (*.f64 z z) (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
96.7%
#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 #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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))))
98.2%
#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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))
97.8%
#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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (*.f64 (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z)))) #s(literal 2 binary64))))))
98.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Compiler

Compiled 2 119 to 461 computations (78.2% saved)

regimes117.0ms (0.7%)

Memory
3.6MiB live, 105.4MiB allocated; 8ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 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 (*.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 (/.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 z z) (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 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 #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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 #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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (*.f64 (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z)))) #s(literal 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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 #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)))))
(*.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 x (*.f64 z y)))) (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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 (-.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
(*.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))))
Calls

13 calls:

40.0ms
y
26.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
5.0ms
t
5.0ms
(*.f64 y #s(literal 27 binary64))
5.0ms
x
Results
AccuracySegmentsBranch
99.0%1(sqrt.f64 t)
99.0%1(*.f64 z #s(literal 2 binary64))
99.0%1(*.f64 y #s(literal 27 binary64))
99.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.0%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
99.0%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
99.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
99.0%1x
99.0%1y
99.0%1z
99.0%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes99.0ms (0.6%)

Memory
7.6MiB live, 145.5MiB allocated; 6ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 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 (*.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 (/.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 z z) (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 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 #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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 #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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (*.f64 (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z)))) #s(literal 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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 #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)))))
(*.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 x (*.f64 z y)))) (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 #s(approx (- (pow (/ (PI) 2) 3) (pow (asin (* (* (sqrt t) -1/18) (/ (/ 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 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #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 (-.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))))
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 x (*.f64 z y)))) (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))))
Calls

13 calls:

26.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
23.0ms
t
6.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
5.0ms
(*.f64 y #s(literal 27 binary64))
5.0ms
(sqrt.f64 t)
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)

regimes79.0ms (0.5%)

Memory
1.2MiB live, 188.7MiB allocated; 17ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 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 (*.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 (/.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 z z) (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 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 #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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 #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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (*.f64 (*.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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) #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 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) y) (/.f64 x z)))) #s(literal 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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #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 #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)))))
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) (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (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 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))
Calls

13 calls:

9.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
9.0ms
(*.f64 y #s(literal 27 binary64))
9.0ms
t
7.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
7.0ms
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
98.2%1(sqrt.f64 t)
98.2%1(*.f64 z #s(literal 2 binary64))
98.2%1(*.f64 y #s(literal 27 binary64))
98.2%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.2%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.2%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.2%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))
98.2%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)))
98.2%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))))
98.2%1x
98.2%1y
98.2%1z
98.2%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes40.0ms (0.2%)

Memory
-0.3MiB live, 100.0MiB allocated; 6ms collecting garbage
Accuracy

Total -35.5b remaining (-2909.6%)

Threshold costs -35.5b (-2909.6%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 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 (*.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 (/.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 z z) (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 (pow.f64 z #s(literal 3 binary64)) y)) #s(literal 1/18 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)))) (*.f64 z z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/9 binary64) y)) (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z z #s(literal 0 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 #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 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)) #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 (*.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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64))))))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Calls

13 calls:

6.0ms
z
4.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
3.0ms
y
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
(sqrt.f64 t)
Results
AccuracySegmentsBranch
98.1%1(sqrt.f64 t)
98.1%1(*.f64 z #s(literal 2 binary64))
98.1%1(*.f64 y #s(literal 27 binary64))
98.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.1%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.1%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.1%1x
98.1%1y
98.1%1z
98.1%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify75.0ms (0.4%)

Memory
3.0MiB live, 95.2MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100363
1160363
2380363
31220363
45194363
Stop Event
node 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 (-.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 x (*.f64 z y)))) (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))))
#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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
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 (*.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 x (*.f64 z y)))) (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))))
#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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (*.f64 #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 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) (asin.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))

derivations1.0s (5.9%)

Memory
18.4MiB live, 805.6MiB allocated; 204ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01201021
02011017
16071009
23842997
08290997
099634
1232590
2725580
33495580
47339580
08053578
01850
02950
16342
224036
3146136
0868036
0108960
0188942
1601930
23350930
08390930
064375
0105372
1341370
22171362
08452362
02963
16360
219858
372858
4252458
5452758
6542058
7631958
8643158
9643558
10698358
0824958
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 365 to 105 computations (71.2% saved)

preprocess56.0ms (0.3%)

Memory
4.4MiB live, 101.7MiB allocated; 13ms collecting garbage
Remove

(sort y z)

Compiler

Compiled 966 to 338 computations (65% saved)

end0.0ms (0%)

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

Profiling

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