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

Time bar (total: 35.3s)

analyze373.0ms (1.1%)

Memory
38.2MiB live, 665.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.5s (15.6%)

Memory
-72.3MiB live, 6 104.8MiB allocated
Samples
2.5s15 647×0invalid
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-mult: 1.1s (41.6% of total)
ival-div: 996.0ms (36.8% of total)
ival-acos: 307.0ms (11.3% of total)
ival-sqrt: 208.0ms (7.7% of total)
exact: 42.0ms (1.6% of total)
ival-true: 19.0ms (0.7% of total)
ival-assert: 9.0ms (0.3% of total)
Bogosity

preprocess163.0ms (0.5%)

Memory
8.6MiB live, 196.2MiB allocated
Algorithm
egg-herbie
Rules
2 044×lower-*.f32
2 034×lower-*.f64
1 530×unsub-neg
1 368×associate-*r/
1 168×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

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

(sort y z)

explain253.0ms (0.7%)

Memory
2.5MiB live, 402.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
190-2(1.7423657337162686e-295 -136957111942888290.0 -3.844986896589343e-193 1.0044532231315404e-80)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
130-1(-7.984004233993207e-194 -1.268570414748251e+136 -6.783572384083142e-16 3.628009325778039e+274)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
10-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n170
(/.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*u120
/.f64(/.f64 x (*.f64 y #s(literal 27 binary64)))n/o10
(*.f64 y #s(literal 27 binary64))overflow2
Confusion
Predicted +Predicted -
+00
-29227
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-290227
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0227
128
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
62.0ms512×0valid
Compiler

Compiled 230 to 76 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 15.0ms (39.1% of total)
ival-div: 12.0ms (31.3% of total)
ival-sqrt: 5.0ms (13% of total)
ival-acos: 5.0ms (13% of total)
exact: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(*.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 23 to 18 computations (21.7% saved)

simplify96.0ms (0.3%)

Memory
12.2MiB live, 89.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 2 (0.0ms)

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

localize56.0ms (0.2%)

Memory
-0.8MiB live, 118.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy98.5%
(*.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))))
accuracy95.4%
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy93.9%
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
35.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 10.0ms (48.4% of total)
ival-div: 6.0ms (29% of total)
ival-sqrt: 2.0ms (9.7% of total)
ival-acos: 2.0ms (9.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.1%)

Memory
16.9MiB live, 53.8MiB allocated
Counts
6 → 180
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))>
#<alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))>
#<alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))>
#<alt (/.f64 x (*.f64 y #s(literal 27 binary64)))>
Outputs
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/9 (/ x y))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
Calls

45 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))))
3.0ms
x
@0
(/ x (* y 27))
1.0ms
z
@0
(/ (* 3 (/ x (* y 27))) (* z 2))
1.0ms
t
@-inf
(* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))
1.0ms
x
@0
(/ (* 3 (/ x (* y 27))) (* z 2))

rewrite375.0ms (1.1%)

Memory
-19.2MiB live, 467.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 832×lower-*.f32
5 822×lower-*.f64
3 672×lower-/.f32
3 668×lower-/.f64
1 650×lower-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01855
02955
16947
238741
3374241
0821441
Stop Event
iter limit
node limit
iter limit
Counts
6 → 588
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))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
Outputs
#s(literal 1/3 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z #s(literal -2 binary64))) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) y)))
(neg.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))))
(/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 x (/.f64 #s(literal 3/2 binary64) z))))
(/.f64 #s(literal 3 binary64) (*.f64 z (*.f64 #s(literal 54 binary64) (/.f64 y x))))
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) (/.f64 y x)) z))
(/.f64 x (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal 54 binary64) y)))
(/.f64 x (*.f64 (*.f64 #s(literal 54 binary64) y) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 z #s(literal 2/3 binary64)))
(/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) y) (*.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)) z))
(/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) (*.f64 z #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 #s(literal 54 binary64) (/.f64 y x)))
(/.f64 (/.f64 x (*.f64 #s(literal 54 binary64) y)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 (/.f64 y x) #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y (*.f64 z #s(literal 54 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 y #s(literal -27 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -27 binary64))))
(/.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)) #s(literal 2 binary64))
(/.f64 (/.f64 x y) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 54 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y)))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal -2 binary64)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (neg.f64 z) (*.f64 #s(literal 54 binary64) y)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 54 binary64) y) (neg.f64 z)))
(/.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) z))
(/.f64 #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) x) (*.f64 z #s(literal -2 binary64))))
(/.f64 #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 y #s(literal -27 binary64)) x) (*.f64 z #s(literal 2 binary64))))
(/.f64 #s(literal -3 binary64) (*.f64 (neg.f64 z) (*.f64 #s(literal 54 binary64) (/.f64 y x))))
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) (/.f64 y x)) (neg.f64 z)))
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal 27 binary64)) x)))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y))) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y)) z)
(/.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 z x) (*.f64 y #s(literal 27 binary64))))
(/.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) x) z))
(/.f64 (/.f64 x (*.f64 (*.f64 y #s(literal 27 binary64)) z)) #s(literal 2/3 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))
(/.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 (/.f64 y x) #s(literal 9 binary64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) (*.f64 z #s(literal 54 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) (*.f64 #s(literal 54 binary64) z))
(/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) (*.f64 y #s(literal 27 binary64)))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) y))
(/.f64 (/.f64 #s(literal 3/2 binary64) z) (/.f64 (*.f64 y #s(literal 27 binary64)) x))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) (*.f64 #s(literal 54 binary64) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 (neg.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) (neg.f64 z)))
(/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) (*.f64 #s(literal 54 binary64) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 (/.f64 x y)) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 1 binary64)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 #s(literal -3 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 #s(literal -3 binary64) (/.f64 x y)) (*.f64 (neg.f64 z) #s(literal 54 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal 27 binary64)) z))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 y #s(literal -27 binary64)) z))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 y #s(literal -27 binary64)) (*.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 1/2 binary64)) (*.f64 #s(literal 27 binary64) z))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal -1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) (/.f64 #s(literal 1 binary64) z)) #s(literal 54 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/2 binary64)) (*.f64 y z))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64)) (*.f64 y (*.f64 z #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 x (*.f64 y #s(literal -27 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 z #s(literal 2 binary64)) y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 y #s(literal 27 binary64)) z))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 z (*.f64 y #s(literal -27 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) (*.f64 z #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/9 binary64))) (*.f64 z y))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 y #s(literal -27 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/9 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 1/9 binary64))) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 3 binary64) x)) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal -3 binary64))) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 54 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x #s(literal 1/9 binary64))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z))) (*.f64 y #s(literal -27 binary64)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 2 binary64)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 x z) #s(literal 3/2 binary64)) (*.f64 y #s(literal 27 binary64)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal -1 binary64)) (*.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 y #s(literal -27 binary64)))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(literal 1 binary64)) (*.f64 #s(literal 54 binary64) (/.f64 y x)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) x) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (neg.f64 x)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x y)) #s(literal 54 binary64))
(/.f64 (*.f64 x (/.f64 #s(literal 3 binary64) z)) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 54 binary64) y))) z)
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 3/2 binary64) z))) (*.f64 y #s(literal 27 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 z #s(literal -2 binary64)))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 54 binary64) y)) #s(literal 1 binary64)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 54 binary64) y)) #s(literal -3 binary64)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 x #s(literal -3 binary64))) (*.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal 27 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 x #s(literal 1/9 binary64))) y)
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 3 binary64) z)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 3 binary64) z)) #s(literal 54 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/2 binary64) z)) (/.f64 (*.f64 y #s(literal 27 binary64)) x))
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 3/2 binary64) z)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 3/2 binary64) z)) #s(literal 27 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/2 binary64) z)) (/.f64 (*.f64 y #s(literal -27 binary64)) x))
(/.f64 (*.f64 (neg.f64 (/.f64 x y)) (/.f64 #s(literal 3/2 binary64) z)) #s(literal -27 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) (/.f64 #s(literal 3/2 binary64) z)) y)
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) (/.f64 #s(literal 1/2 binary64) z)) #s(literal 27 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1/2 binary64) z)) y)
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal -3 binary64)) (/.f64 #s(literal -1/2 binary64) z)) (*.f64 y #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal -3 binary64) (/.f64 x (*.f64 #s(literal 54 binary64) y))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/9 binary64)) #s(literal 1/2 binary64)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) y) #s(literal 27 binary64))
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 3/2 binary64) z)) #s(literal 27 binary64)) y)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y))) (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal 27 binary64)) x))) (*.f64 (*.f64 z #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 y #s(literal 27 binary64)) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z #s(literal -2 binary64))) (*.f64 (*.f64 z #s(literal -2 binary64)) (/.f64 (*.f64 x #s(literal 1/9 binary64)) y))) (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))))
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(pow.f64 (/.f64 y (*.f64 x #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) x) (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 y #s(literal -27 binary64))))
(*.f64 (neg.f64 (/.f64 x y)) #s(literal -1/27 binary64))
(*.f64 (*.f64 x #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (neg.f64 x))
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 27 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 #s(literal -1/27 binary64) (neg.f64 (/.f64 x y)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -27 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 y)) (pow.f64 (/.f64 #s(literal 27 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -27 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal 1/27 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x y))) #s(literal -1 binary64)) #s(literal -1/27 binary64))

simplify182.0ms (0.5%)

Memory
-16.8MiB live, 296.8MiB allocated
Algorithm
egg-herbie
Rules
4 158×lower-*.f64
4 158×lower-*.f32
3 468×lower-/.f32
3 468×lower-/.f64
1 212×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0311616
1661604
21971596
37251596
425601596
544521596
662331596
080921596
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
(* 1/27 (/ x y))
Outputs
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/9 (/ x y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
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(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
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(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
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(* 1/27 (/ x y))
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(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
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(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(* 1/27 (/ x y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))

eval429.0ms (1.2%)

Memory
1.0MiB live, 150.3MiB allocated
Compiler

Compiled 14 488 to 3 054 computations (78.9% saved)

prune215.0ms (0.6%)

Memory
-5.0MiB live, 151.5MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New7635768
Fresh000
Picked101
Done000
Total7645769
Accuracy
98.5%
Counts
769 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
98.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))
93.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
96.6%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
98.5%
(*.f64 #s(literal 1/3 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 278 to 172 computations (38.1% saved)

simplify212.0ms (0.6%)

Memory
23.8MiB live, 331.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
cost-diff128
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
cost-diff320
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
cost-diff0
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t)))
cost-diff0
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))
cost-diff704
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
cost-diff0
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
cost-diff0
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
cost-diff0
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
cost-diff0
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
cost-diff0
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
cost-diff0
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
cost-diff0
(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-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
cost-diff320
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
cost-diff704
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Rules
3 960×lower-*.f32
3 920×lower-*.f64
3 218×lower-fma.f32
3 214×lower-fma.f64
1 406×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057505
0103525
1189479
2477455
31357455
42991455
53524455
63972455
74539455
85821455
97250455
08057453
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
#s(literal 1/3 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))))
#s(literal 3 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
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
x
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(sqrt.f64 t)
t
#s(literal -1/18 binary64)
(*.f64 y z)
y
z
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))
(asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 3 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y (*.f64 z #s(literal 54 binary64)))
y
(*.f64 z #s(literal 54 binary64))
z
#s(literal 54 binary64)
#s(literal 1/3 binary64)
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))))
#s(literal 1/2 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
#s(literal 1/3 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 x (sqrt.f64 t))) (*.f64 y z)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 x (/.f64 #s(literal 1/9 binary64) y))
#s(literal 3 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
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
x
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(sqrt.f64 t)
t
#s(literal -1/18 binary64)
(*.f64 y z)
y
z
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(/.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 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t)))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))
(asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 3 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y (*.f64 z #s(literal 54 binary64)))
y
(*.f64 z #s(literal 54 binary64))
z
#s(literal 54 binary64)
#s(literal 1/3 binary64)
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))
(fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
#s(literal 1/2 binary64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(literal 1/4 binary64)

localize297.0ms (0.8%)

Memory
-29.0MiB live, 493.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(*.f64 y (*.f64 z #s(literal 54 binary64)))
accuracy98.5%
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
accuracy88.9%
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
accuracy99.6%
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
accuracy98.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))
accuracy95.4%
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
accuracy90.1%
(/.f64 x (*.f64 y z))
accuracy99.6%
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
accuracy99.4%
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
accuracy88.9%
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
accuracy99.6%
(*.f64 x (sqrt.f64 t))
accuracy99.1%
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
accuracy88.9%
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
accuracy99.3%
(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy98.5%
(*.f64 #s(literal 1/3 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))))
accuracy95.4%
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy93.9%
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
164.0ms256×0valid
Compiler

Compiled 516 to 61 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 79.0ms (61% of total)
ival-div: 13.0ms (10% of total)
const: 10.0ms (7.7% of total)
ival-pow: 10.0ms (7.7% of total)
ival-acos: 8.0ms (6.2% of total)
ival-add: 2.0ms (1.5% of total)
ival-asin: 2.0ms (1.5% of total)
ival-sqrt: 2.0ms (1.5% of total)
ival-pi: 1.0ms (0.8% of total)
ival-sub: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series76.0ms (0.2%)

Memory
17.6MiB live, 173.9MiB allocated
Counts
28 → 1 032
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))>
#<alt (*.f64 #s(literal 1/3 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))))>
#<alt (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)))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))>
#<alt (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))>
#<alt (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))>
#<alt (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))>
#<alt (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))>
#<alt (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))>
#<alt (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t)))>
#<alt (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))>
#<alt (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))>
#<alt (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))>
#<alt (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))>
#<alt (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))>
#<alt (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))>
#<alt (/.f64 x (*.f64 y #s(literal 27 binary64)))>
#<alt (*.f64 x (sqrt.f64 t))>
#<alt (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))>
#<alt (*.f64 y (*.f64 z #s(literal 54 binary64)))>
Outputs
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#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
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#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
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#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
#<alt (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))>
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#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* 1/27 (/ x y))>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1/18 (sqrt t))>
#<alt (* -1/18 (sqrt t))>
#<alt (* -1/18 (sqrt t))>
#<alt (* -1/18 (sqrt t))>
#<alt (* -1/18 (sqrt t))>
#<alt (* -1/18 (sqrt t))>
#<alt (* -1/18 (sqrt t))>
#<alt (* -1/18 (sqrt t))>
#<alt (* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (/ x (* y z))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 1/18 (/ x (* y z)))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
#<alt (* 54 (* y z))>
Calls

258 calls:

TimeVariablePointExpression
7.0ms
z
@-inf
(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) 3)) 1/3)
4.0ms
t
@inf
(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) 3)) 1/3) (+ (* (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) (+ (* (PI) 1/2) (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))))) (* (* (PI) (PI)) 1/4)))
2.0ms
x
@0
(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) 3)) 1/3) (+ (* (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) (+ (* (PI) 1/2) (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))))) (* (* (PI) (PI)) 1/4)))
2.0ms
y
@-inf
(* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) 3)) 1/3)
2.0ms
t
@-inf
(/ (* (- (* (* (PI) (* (PI) (PI))) 1/8) (pow (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) 3)) 1/3) (+ (* (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))) (+ (* (PI) 1/2) (asin (/ (* 3 (* x (sqrt t))) (* y (* z 54)))))) (* (* (PI) (PI)) 1/4)))

rewrite651.0ms (1.8%)

Memory
-6.5MiB live, 829.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 662×lower-fma.f32
11 658×lower-fma.f64
4 684×lower-*.f32
4 640×lower-*.f64
4 022×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057335
0103279
1299265
21953265
08311265
Stop Event
iter limit
node limit
iter limit
Counts
28 → 1 188
Calls
Call 1
Inputs
(/.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 #s(literal 1/3 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 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64)))
(*.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 x (*.f64 y #s(literal 27 binary64)))
(*.f64 x (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(/.f64 x (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 z #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z #s(literal -2 binary64))) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 z #s(literal -2 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 z #s(literal -2 binary64))))
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 (*.f64 y #s(literal 27 binary64)) x)))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 z #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 27 binary64))) (*.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 y #s(literal 27 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 z #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) x)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 #s(literal 3 binary64) x)))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 27 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (neg.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 27 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (neg.f64 (*.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) z)
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z #s(literal 2 binary64))) (*.f64 y #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) z)
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1/2 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 y #s(literal 27 binary64))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z #s(literal 2 binary64)))) (*.f64 y #s(literal -27 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (neg.f64 z))
(pow.f64 (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 27 binary64)))))
(*.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 z #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64)))))
(*.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (/.f64 #s(literal 3 binary64) z))
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(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z))
(*.f64 #s(literal 3/2 binary64) (pow.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 27 binary64)))))
(*.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 z #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 x (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 y #s(literal 27 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 z #s(literal -2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64)))))
(*.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64))))) #s(literal -1/2 binary64))
(*.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) z) #s(literal 3/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal -1 binary64)) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (pow.f64 (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 27 binary64)) x)) #s(literal 2/3 binary64)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))))
(neg.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))))
(/.f64 #s(literal 3 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 #s(literal 3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) x) #s(literal 3 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (/.f64 (*.f64 #s(literal 3 binary64) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -27 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (*.f64 #s(literal 3 binary64) (/.f64 x y))))
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(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 y #s(literal 27 binary64)))
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(/.f64 #s(literal -3 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y) #s(literal 27 binary64))
(/.f64 #s(literal 1/9 binary64) (/.f64 y x))
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal 27 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y #s(literal -27 binary64)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/27 binary64)) y)
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x))) (*.f64 y #s(literal 27 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) y)) #s(literal -27 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x))) (*.f64 y #s(literal 27 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y))) #s(literal -27 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 y #s(literal 27 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -27 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/27 binary64))) (neg.f64 y))
(pow.f64 (/.f64 (*.f64 y #s(literal 27 binary64)) (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
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(*.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))
(*.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 x #s(literal 1/27 binary64)))
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(*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/27 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64))))))
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(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))))))) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 z (*.f64 y #s(literal 27 binary64)))) (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)))))))))
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(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) x)
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
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(*.f64 (neg.f64 (/.f64 x y)) #s(literal -1/27 binary64))
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(*.f64 x (sqrt.f64 t))
(*.f64 (sqrt.f64 t) x)
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
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(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y z) x)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 x) (*.f64 y (neg.f64 z)))
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(/.f64 (/.f64 x z) y)
(/.f64 (neg.f64 (neg.f64 (/.f64 x y))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y))
(pow.f64 (/.f64 (*.f64 y z) x) #s(literal -1 binary64))
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(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x))
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(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (neg.f64 z))
(pow.f64 (/.f64 (*.f64 y z) (*.f64 x #s(literal 1/18 binary64))) #s(literal -1 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
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(*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (/.f64 #s(literal 1 binary64) z))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (log.f64 (*.f64 (PI.f64) (PI.f64)))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 2 binary64) (log.f64 (PI.f64))))
(exp.f64 (+.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) (log.f64 (PI.f64))))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y z) #s(literal -54 binary64)))
(neg.f64 (*.f64 (*.f64 y z) #s(literal -54 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y z) #s(literal 54 binary64))))
(/.f64 (*.f64 (*.f64 y z) #s(literal 54 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 y z) #s(literal -54 binary64)) #s(literal -1 binary64))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(*.f64 z (*.f64 y #s(literal 54 binary64)))
(*.f64 z (*.f64 #s(literal 54 binary64) y))
(*.f64 (*.f64 y z) #s(literal 54 binary64))
(*.f64 #s(literal 54 binary64) (*.f64 y z))
(*.f64 (*.f64 z #s(literal 54 binary64)) y)
(*.f64 (*.f64 (*.f64 y z) #s(literal 54 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y z) #s(literal -54 binary64)))
(*.f64 (*.f64 y #s(literal 54 binary64)) z)

simplify511.0ms (1.4%)

Memory
1.6MiB live, 565.9MiB allocated
Algorithm
egg-herbie
Rules
5 578×lower-fma.f64
5 578×lower-fma.f32
5 058×lower-*.f64
5 058×lower-*.f32
1 778×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07613704
117613044
247913044
3153913044
4328713044
5605513044
0804912852
Stop Event
iter limit
node limit
Counts
1 032 → 1 032
Calls
Call 1
Inputs
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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Outputs
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* 1/3 (/ (- (* 1/8 (pow (PI) 3)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* 1/4 (pow (PI) 2)) (* (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
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(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* (sqrt t) x)
(*.f64 x (sqrt.f64 t))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 x (sqrt.f64 t))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 x (sqrt.f64 t))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 x (sqrt.f64 t))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 x (sqrt.f64 t))
(* -1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(* -1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(* -1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(* -1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(* -1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(* -1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(* -1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(* -1/18 (sqrt t))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(/ x (* y z))
(/.f64 x (*.f64 y z))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 1/18 (/ x (* y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))
(* 54 (* y z))
(*.f64 y (*.f64 z #s(literal 54 binary64)))

eval4.1s (11.5%)

Memory
19.8MiB live, 830.8MiB allocated
Compiler

Compiled 100 164 to 5 000 computations (95% saved)

prune3.9s (11%)

Memory
25.4MiB live, 547.8MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New2 70482 712
Fresh000
Picked505
Done000
Total2 70982 717
Accuracy
100.0%
Counts
2 717 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.0%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
98.0%
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
97.0%
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal -1/2 binary64)))
95.2%
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))))
96.9%
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))
97.0%
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
Compiler

Compiled 656 to 350 computations (46.6% saved)

simplify481.0ms (1.4%)

Memory
-5.6MiB live, 745.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))))
cost-diff704
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
cost-diff5824
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
cost-diff6464
(+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
cost-diff0
(-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))
cost-diff0
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff0
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
cost-diff128
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))
cost-diff0
(*.f64 (sqrt.f64 t) (/.f64 x z))
cost-diff0
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64))))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))))
cost-diff384
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))
cost-diff0
(/.f64 x (*.f64 y z))
cost-diff0
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
cost-diff0
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
Rules
16 420×lower-fma.f32
16 414×lower-fma.f64
7 916×lower-*.f32
7 874×lower-*.f64
2 008×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061877
0111827
1215783
2607783
31926783
45723783
08019781
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64))))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(sqrt.f64 t)
t
(/.f64 x z)
x
z
(*.f64 y #s(literal 18 binary64))
y
#s(literal 18 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))
#s(literal 1/3 binary64)
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
x
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
#s(literal 2 binary64)
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
#s(literal -1/18 binary64)
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
(PI.f64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
x
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
#s(literal 3 binary64)
(*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
#s(literal -1/18 binary64)
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))))
#s(literal 1/3 binary64)
(/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))))
(-.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 3 binary64)
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
x
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
(+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y (*.f64 z #s(literal 18 binary64))))))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64))))
(acos.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y (*.f64 z #s(literal 18 binary64)))))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y (*.f64 z #s(literal 18 binary64))))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(/.f64 (*.f64 x (sqrt.f64 t)) z)
(sqrt.f64 t)
t
(/.f64 x z)
x
z
(*.f64 y #s(literal 18 binary64))
y
#s(literal 18 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) #s(literal -1/3 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
#s(literal 1/3 binary64)
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(PI.f64)
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
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 y z)
y
z
#s(literal 2 binary64)
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
#s(literal -1/18 binary64)
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) (*.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/4 binary64))))
(-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64))))
(PI.f64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (PI.f64) (PI.f64))
#s(literal 1/8 binary64)
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
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 y z)
y
z
#s(literal 3 binary64)
(*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) (*.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/4 binary64)))
(fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
#s(literal -1/18 binary64)
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64))))
#s(literal 1/3 binary64)
(/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64))))
(-.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)))
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(PI.f64)
(PI.f64)
#s(literal 1/2 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 3 binary64)
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
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 y z)
y
z
(fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
(fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))
(+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(*.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z)))))
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(*.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))))

localize282.0ms (0.8%)

Memory
-30.6MiB live, 483.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.5%
(+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
accuracy98.5%
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
accuracy98.4%
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
accuracy88.9%
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
accuracy98.5%
(*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
accuracy98.4%
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
accuracy88.9%
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
accuracy88.9%
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
accuracy99.4%
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))
accuracy88.9%
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
accuracy88.9%
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
accuracy100.0%
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64))))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))))
accuracy94.3%
(*.f64 (sqrt.f64 t) (/.f64 x z))
accuracy91.5%
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))
accuracy99.4%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
accuracy95.4%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy90.1%
(/.f64 x (*.f64 y z))
Samples
143.0ms256×0valid
Compiler

Compiled 901 to 65 computations (92.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 38.0ms (39.6% of total)
ival-div: 13.0ms (13.5% of total)
const: 11.0ms (11.5% of total)
ival-acos: 9.0ms (9.4% of total)
ival-pow: 8.0ms (8.3% of total)
ival-pow2: 5.0ms (5.2% of total)
ival-add: 4.0ms (4.2% of total)
ival-sub: 3.0ms (3.1% of total)
ival-asin: 2.0ms (2.1% of total)
ival-sqrt: 2.0ms (2.1% of total)
ival-pi: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series138.0ms (0.4%)

Memory
-8.4MiB live, 147.6MiB allocated
Counts
26 → 912
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))>
#<alt (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))>
#<alt (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))))>
#<alt (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64))))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x z))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))>
#<alt (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))>
#<alt (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))>
#<alt (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))>
#<alt (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64)))>
#<alt (-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))>
#<alt (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))>
#<alt (PI.f64)>
#<alt (+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))>
#<alt (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))>
#<alt (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))))>
#<alt (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))>
#<alt (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))>
#<alt (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))>
#<alt (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))>
#<alt (*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))>
#<alt (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))>
Outputs
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
#<alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))>
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#<alt (* -1/18 (sqrt t))>
#<alt (* -1/18 (sqrt t))>
#<alt (* -1/18 (sqrt t))>
#<alt (* -1/18 (sqrt t))>
#<alt (* -1/18 (sqrt t))>
#<alt (* -1/18 (sqrt t))>
#<alt (* -1/18 (sqrt t))>
#<alt (* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 1/18 (* (sqrt t) (pow (sqrt -1) 2)))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))>
#<alt (* 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))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)>
Calls

228 calls:

TimeVariablePointExpression
21.0ms
z
@inf
(+ (pow (acos (/ (* x (* (sqrt t) 1/18)) (* y z))) 2) (* (+ (* (PI) 1/2) (* (PI) 1/2)) (acos (/ (* x (* (sqrt t) 1/18)) (* y z)))))
18.0ms
y
@-inf
(+ (pow (acos (/ (* x (* (sqrt t) 1/18)) (* y z))) 2) (* (+ (* (PI) 1/2) (* (PI) 1/2)) (acos (/ (* x (* (sqrt t) 1/18)) (* y z)))))
3.0ms
x
@-inf
(* 1/3 (/ (- (* (PI) (* (PI) 1/4)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 2)) (acos (/ (* x (* (sqrt t) -1/18)) (* y z)))))
3.0ms
t
@inf
(/ (- (* (PI) (* (* (PI) (PI)) 1/8)) (pow (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) 3)) (* (+ (* (asin (/ (* x (* (sqrt t) 1/18)) (* y z))) (acos (/ (* x (* (sqrt t) -1/18)) (* y z)))) (* (PI) (* (PI) 1/4))) 3))
3.0ms
x
@0
(* 1/3 (/ (- (pow (+ (* (PI) 1/2) (* (PI) 1/2)) 3) (pow (acos (/ (* x (* (sqrt t) 1/18)) (* y z))) 3)) (+ (* (+ (* (PI) 1/2) (* (PI) 1/2)) (+ (* (PI) 1/2) (* (PI) 1/2))) (+ (pow (acos (/ (* x (* (sqrt t) 1/18)) (* y z))) 2) (* (+ (* (PI) 1/2) (* (PI) 1/2)) (acos (/ (* x (* (sqrt t) 1/18)) (* y z))))))))

rewrite429.0ms (1.2%)

Memory
32.0MiB live, 738.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 020×lower-fma.f32
3 018×lower-fma.f64
2 346×lower-*.f32
2 322×lower-*.f64
2 276×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061435
0111292
1397244
23744229
010233229
Stop Event
iter limit
node limit
iter limit
Counts
26 → 2 378
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 x (*.f64 y z))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))))
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64))))
(*.f64 (sqrt.f64 t) (/.f64 x z))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))
(*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64)))
(PI.f64)
(+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
Outputs
(+.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(fma.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal -3 binary64))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 6 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 9 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 6 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 6 binary64))))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 9 binary64)) (pow.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 3 binary64)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 6 binary64)) (pow.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3/2 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3/2 binary64)) (pow.f64 (+.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3/2 binary64)) (pow.f64 (-.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 9/2 binary64)) (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3/2 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3/2 binary64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 9 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 6 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 6 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 12 binary64)))

simplify3.0s (8.5%)

Memory
-15.8MiB live, 664.2MiB allocated
Algorithm
egg-herbie
Rules
4 970×lower-*.f64
4 970×lower-*.f32
4 418×lower-fma.f64
4 418×lower-fma.f32
1 730×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08818336
122417808
260817724
3183617724
4346917724
5641517724
0806817484
Stop Event
iter limit
node limit
Counts
912 → 912
Calls
Call 1
Inputs
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
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(* -1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
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(* -1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
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(* -1/18 (sqrt t))
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(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 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))))))))
(* 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))))))))
(* 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))))))))
(* 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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
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(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
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(* 3 (+ (* 1/4 (pow (PI) 2)) (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (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))))))))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
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(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
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(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(* 1/3 (/ (- (* 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)))))))))
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(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))

eval1.7s (4.7%)

Memory
28.3MiB live, 971.8MiB allocated
Compiler

Compiled 212 736 to 6 746 computations (96.8% saved)

prune923.0ms (2.6%)

Memory
17.6MiB live, 526.0MiB allocated
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New4 18354 188
Fresh303
Picked235
Done000
Total4 18884 196
Accuracy
100.0%
Counts
4 196 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal -1 binary64))
96.6%
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal 9 binary64))
96.6%
(/.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
95.7%
(*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64)))
98.3%
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
96.9%
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))
97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
Compiler

Compiled 363 to 224 computations (38.3% saved)

simplify359.0ms (1%)

Memory
-30.0MiB live, 154.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))
cost-diff384
(fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
cost-diff704
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal 9 binary64))
cost-diff15488
(*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64)))
cost-diff0
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
cost-diff0
(sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64)))
cost-diff7104
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64))
cost-diff0
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
cost-diff0
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
cost-diff0
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
cost-diff6848
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal -1 binary64))
cost-diff0
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
cost-diff0
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
cost-diff0
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
cost-diff384
(/.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
cost-diff0
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
cost-diff0
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))
cost-diff0
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
Rules
2 596×lower-fma.f32
2 594×lower-fma.f64
2 126×lower-*.f32
2 106×lower-*.f64
690×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043582
075520
1132516
2263516
3558516
4871516
51174516
61669516
72443516
83341516
94126516
104418516
114474516
124482516
134482516
144774516
154902516
164902516
174902516
184922516
194924516
204924516
214924516
224928516
04928516
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
#s(literal 1/3 binary64)
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
x
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(sqrt.f64 t)
t
#s(literal -1/18 binary64)
(*.f64 y z)
y
z
#s(literal 3 binary64)
(fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64))
(/.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal 3 binary64)
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal -1 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
#s(literal 3 binary64)
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal -1 binary64)
(*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64)))
#s(literal 1/3 binary64)
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal 2 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal 9 binary64))
(fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64)))
#s(literal 0 binary64)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
#s(literal 9 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(*.f64 (-.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal -1/3 binary64) (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))))))
#s(literal 1/3 binary64)
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(PI.f64)
(*.f64 (PI.f64) (PI.f64))
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)))
x
(*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))
(sqrt.f64 t)
t
#s(literal -1/18 binary64)
(*.f64 y z)
y
z
#s(literal 3 binary64)
(fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))
(fma.f64 (PI.f64) (PI.f64) (*.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))))
(+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64))
(+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(/.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal 3 binary64)
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
#s(literal 3 binary64)
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal -1 binary64)
(*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
#s(literal 1/3 binary64)
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(sqrt.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal 2 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal 9 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
(*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -2 binary64))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
#s(literal 1/18 binary64)
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))
#s(literal 9 binary64)

localize369.0ms (1%)

Memory
-6.3MiB live, 349.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 x (sqrt.f64 t))
accuracy99.1%
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
accuracy98.5%
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal 9 binary64))
accuracy88.9%
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
accuracy98.6%
(sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64)))
accuracy98.5%
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64))
accuracy88.9%
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
accuracy100.0%
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
accuracy99.6%
(*.f64 x (sqrt.f64 t))
accuracy99.1%
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
accuracy88.9%
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
accuracy99.6%
(*.f64 x (sqrt.f64 t))
accuracy99.1%
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
accuracy98.5%
(/.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
accuracy88.9%
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
accuracy98.5%
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
accuracy98.4%
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
accuracy88.9%
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
Samples
207.0ms256×0valid
Compiler

Compiled 589 to 47 computations (92% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-mult: 40.0ms (27% of total)
ival-div: 36.0ms (24.3% of total)
ival-acos: 28.0ms (18.9% of total)
ival-pow2: 17.0ms (11.5% of total)
const: 10.0ms (6.8% of total)
ival-pow: 7.0ms (4.7% of total)
ival-sqrt: 4.0ms (2.7% of total)
ival-add: 3.0ms (2% of total)
ival-pi: 1.0ms (0.7% of total)
ival-sub: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series134.0ms (0.4%)

Memory
15.0MiB live, 95.5MiB allocated
Counts
20 → 864
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))>
#<alt (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))>
#<alt (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))>
#<alt (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))>
#<alt (/.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))>
#<alt (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))>
#<alt (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))>
#<alt (pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))>
#<alt (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))>
#<alt (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64)))>
#<alt (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal 9 binary64))>
#<alt (fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))>
#<alt (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))>
#<alt (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))>
#<alt (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))>
#<alt (*.f64 x (sqrt.f64 t))>
Outputs
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
#<alt (* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))>
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#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (/ 1 (pow (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (* -1/18 (* (sqrt t) (/ x (* y z))))>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* (sqrt t) x)>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
#<alt (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))>
Calls

216 calls:

TimeVariablePointExpression
64.0ms
y
@0
(pow (acos (/ (* 1/18 (* x (sqrt t))) (* y z))) -2)
16.0ms
y
@-inf
(* 1/3 (/ (- (* (PI) (* (PI) (PI))) (pow (acos (/ (* x (* (sqrt t) -1/18)) (* y z))) 3)) (+ (* (acos (/ (* x (* (sqrt t) -1/18)) (* y z))) (+ (acos (/ (* x (* (sqrt t) -1/18)) (* y z))) (PI))) (* (PI) (PI)))))
3.0ms
t
@-inf
(* 1/3 (/ (- (* (PI) (* (PI) (PI))) (pow (acos (/ (* x (* (sqrt t) -1/18)) (* y z))) 3)) (+ (* (acos (/ (* x (* (sqrt t) -1/18)) (* y z))) (+ (acos (/ (* x (* (sqrt t) -1/18)) (* y z))) (PI))) (* (PI) (PI)))))
2.0ms
t
@inf
(* 1/3 (/ (- (* (PI) (* (PI) (PI))) (pow (acos (/ (* x (* (sqrt t) -1/18)) (* y z))) 3)) (+ (* (acos (/ (* x (* (sqrt t) -1/18)) (* y z))) (+ (acos (/ (* x (* (sqrt t) -1/18)) (* y z))) (PI))) (* (PI) (PI)))))
2.0ms
x
@0
(* 1/3 (/ (- (* (PI) (* (PI) (PI))) (pow (acos (/ (* x (* (sqrt t) -1/18)) (* y z))) 3)) (+ (* (acos (/ (* x (* (sqrt t) -1/18)) (* y z))) (+ (acos (/ (* x (* (sqrt t) -1/18)) (* y z))) (PI))) (* (PI) (PI)))))

rewrite3.3s (9.5%)

Memory
24.8MiB live, 933.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 096×lower-/.f32
4 084×lower-/.f64
4 060×lower-*.f32
4 052×lower-fma.f32
4 050×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043349
075464
1268460
21601215
08349215
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 308
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(/.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal -1 binary64))
(/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64)))
(sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal 9 binary64))
(fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))))
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(*.f64 x (sqrt.f64 t))
Outputs
(+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (neg.f64 (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 1/3 binary64))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 1/3 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 1/3 binary64) (neg.f64 (*.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal -1/3 binary64)))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(/.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/3 binary64) (+.f64 (neg.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 y z) (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))))) #s(literal -1 binary64)))
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(*.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) z) (/.f64 #s(literal 1 binary64) y))
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(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 y z)))
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) y))
(*.f64 (/.f64 x (neg.f64 z)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) y))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) z))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal -1 binary64)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 t) (neg.f64 z)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) y))
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) y) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (sqrt.f64 t) (neg.f64 y)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))
(*.f64 (/.f64 (*.f64 x #s(literal -1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 z)) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) (neg.f64 y)) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 y z)))
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 (*.f64 x (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) z))
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(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
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(*.f64 (/.f64 (neg.f64 (*.f64 x (sqrt.f64 t))) #s(literal -1 binary64)) (/.f64 #s(literal -1/18 binary64) (*.f64 y z)))
(*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) y) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) z) (/.f64 (sqrt.f64 t) y))
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) z) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) y) (/.f64 x (neg.f64 z)))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 z)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x (neg.f64 z)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (*.f64 y z)))
(*.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) #s(literal -1 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal -1 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 z)) (/.f64 x y))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 y)) (/.f64 x z))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))) #s(literal 3/2 binary64) (*.f64 (log.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))) #s(literal 3/2 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))))
(neg.f64 (neg.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))))
(/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))
(*.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(*.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3/2 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3/2 binary64)))
(*.f64 x (sqrt.f64 t))
(*.f64 (sqrt.f64 t) x)

simplify345.0ms (1%)

Memory
-19.6MiB live, 658.7MiB allocated
Algorithm
egg-herbie
Rules
4 204×lower-*.f64
4 204×lower-*.f32
4 122×lower-fma.f64
4 122×lower-fma.f32
1 954×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06313752
114513432
240413392
3129213392
4271313392
5554713392
6740513392
0800613296
Stop Event
iter limit
node limit
Counts
864 → 864
Calls
Call 1
Inputs
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* -1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(* -1/18 (* (sqrt t) (/ x (* y z))))
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* (sqrt t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
Outputs
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) (+.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z)))) (*.f64 (PI.f64) (PI.f64)))))
(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(* 1/3 (/ (- (pow (PI) 3) (pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)) (+ (* (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) (+ (PI) (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))) (pow (PI) 2))))
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(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(pow (acos (* -1/18 (* (sqrt t) (/ x (* y z))))) 3)
(pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 y z))) #s(literal 3 binary64))
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* (sqrt t) x)
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)
(* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 t) x)

eval900.0ms (2.6%)

Memory
-80.0MiB live, 1 515.7MiB allocated
Compiler

Compiled 206 822 to 7 699 computations (96.3% saved)

prune524.0ms (1.5%)

Memory
3.1MiB live, 930.1MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New4 31464 320
Fresh000
Picked415
Done123
Total4 31994 328
Accuracy
100.0%
Counts
4 328 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal -1 binary64))
97.0%
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 9 binary64))
97.0%
(/.f64 (*.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)) #s(literal 9 binary64))
96.6%
(/.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
96.2%
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))
97.0%
(*.f64 (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 1/9 binary64))
98.4%
(*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))))
97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
Compiler

Compiled 843 to 300 computations (64.4% saved)

regimes95.0ms (0.3%)

Memory
24.4MiB live, 217.0MiB allocated
Counts
25 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(*.f64 (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))))
(/.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))
(/.f64 (*.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)) #s(literal 9 binary64))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 9 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 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (sqrt.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal -2 binary64))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))) #s(literal 9 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (+.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/8 binary64))) (pow.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (*.f64 (fma.f64 (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))) #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64))) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y (*.f64 z #s(literal 54 binary64)))))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (pow.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))))
Outputs
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal -1 binary64))
Calls

13 calls:

9.0ms
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
9.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
8.0ms
(*.f64 z #s(literal 2 binary64))
8.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
7.0ms
y
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1t
99.6%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
99.6%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
99.6%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
99.6%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.6%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.6%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.6%1(*.f64 y #s(literal 27 binary64))
99.6%1(*.f64 z #s(literal 2 binary64))
99.6%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes61.0ms (0.2%)

Memory
-8.3MiB live, 149.2MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(*.f64 (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))))
(/.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))
(/.f64 (*.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)) #s(literal 9 binary64))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (asin.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))))) #s(literal 9 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 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))))
Outputs
(*.f64 #s(literal 1/3 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))))
Calls

13 calls:

7.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
6.0ms
z
5.0ms
(sqrt.f64 t)
5.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
4.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.5%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.5%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.5%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.5%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.5%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.5%1(*.f64 y #s(literal 27 binary64))
98.5%1(*.f64 z #s(literal 2 binary64))
98.5%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes45.0ms (0.1%)

Memory
-6.7MiB live, 111.2MiB allocated
Accuracy

Total -4.5b remaining (-372.9%)

Threshold costs -4.5b (-372.9%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y z))))
(*.f64 (*.f64 #s(literal 3 binary64) (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z)))) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (*.f64 y #s(literal 18 binary64)))))
(/.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))
(/.f64 (*.f64 (acos.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 y z))) #s(literal 3 binary64)) #s(literal 9 binary64))
(/.f64 (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
Calls

13 calls:

5.0ms
y
5.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
4.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(sqrt.f64 t)
3.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
98.1%1x
98.1%1y
98.1%1z
98.1%1t
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%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 (*.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 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.1%1(*.f64 y #s(literal 27 binary64))
98.1%1(*.f64 z #s(literal 2 binary64))
98.1%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

simplify7.0ms (0%)

Memory
18.4MiB live, 18.4MiB allocated
Algorithm
egg-herbie
Rules
22×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03145
14245
Stop Event
saturated
Calls
Call 1
Inputs
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
Outputs
(pow.f64 (/.f64 #s(literal 3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (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 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))

soundness4.7s (13.4%)

Memory
138.4MiB live, 1 304.8MiB allocated
Rules
11 662×lower-fma.f32
11 658×lower-fma.f64
5 832×lower-*.f32
5 822×lower-*.f64
4 684×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057335
0103279
1299265
21953265
08311265
01855
02955
16947
238741
3374241
0821441
043349
075464
1268460
21601215
08349215
061435
0111292
1397244
23744229
010233229
0311616
1661604
21971596
37251596
425601596
544521596
662331596
080921596
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
Compiler

Compiled 157 to 115 computations (26.8% saved)

preprocess57.0ms (0.2%)

Memory
14.7MiB live, 130.1MiB allocated
Remove

(sort y z)

Compiler

Compiled 262 to 190 computations (27.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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