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

Time bar (total: 25.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze506.0ms (2%)

Memory
-143.9MiB live, 613.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.8s (22.3%)

Memory
120.6MiB live, 5 735.0MiB allocated
Samples
2.7s15 613×0invalid
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.1s
ival-mult: 1.5s (49.1% of total)
ival-div: 720.0ms (23.3% of total)
ival-sqrt: 598.0ms (19.4% of total)
ival-acos: 177.0ms (5.7% of total)
exact: 46.0ms (1.5% of total)
ival-true: 20.0ms (0.6% of total)
ival-assert: 10.0ms (0.3% of total)
Bogosity

explain575.0ms (2.2%)

Memory
-33.7MiB live, 392.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
151(4.316763375687018e-304 1.8012951948574738e+188 -1.2479182319184455e-170 3.18108288070188e+196)2(-1.0185899584947713e-250 6.17286302387378e+71 -4.0991393948102595e-49 9.476300065335343e-153)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
131(4.081430273019729e-276 -4.043407896909356e+256 7.14217668653724e-182 5.333966373306863e+57)2(8.708779181234929e+99 -5.1666713554267e+144 5.314461331356686e+263 3.432557330438578e+123)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n140
↳(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow59
↳(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow59
*.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
Confusion
Predicted +Predicted -
+00
-26230
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-260230
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0230
126
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
182.0ms512×0valid
Compiler

Compiled 293 to 76 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
ival-sqrt: 126.0ms (79.5% of total)
ival-mult: 15.0ms (9.5% of total)
ival-div: 11.0ms (6.9% of total)
ival-acos: 4.0ms (2.5% of total)
ival-true: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)

preprocess137.0ms (0.5%)

Memory
11.7MiB live, 164.6MiB allocated
Algorithm
1×egg-herbie
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
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (/.f64 (sqrt.f64 t) y) z))) #s(literal 1/3 binary64))
Symmetry

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify76.0ms (0.3%)

Memory
2.8MiB live, 39.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 2 (0.0ms)

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

localize47.0ms (0.2%)

Memory
10.7MiB live, 85.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.21875
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
accuracy0.9921875
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy2.836527856762708
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy3.303015295734918
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
37.0ms256×0valid
Compiler

Compiled 182 to 38 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 13.0ms (54.8% of total)
ival-div: 6.0ms (25.3% of total)
ival-sqrt: 2.0ms (8.4% of total)
ival-acos: 2.0ms (8.4% of total)
exact: 1.0ms (4.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series55.0ms (0.2%)

Memory
-17.5MiB live, 64.8MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (patch (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (patch (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) #<representation binary64>) () ())
#s(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)))) (patch (*.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)))) #<representation binary64>) () ())
#s(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)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(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)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(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)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(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)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(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)) (patch (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor inf t) (#s(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)))) (patch (*.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)))) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
19.0ms
y
@0
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
7.0ms
t
@0
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
3.0ms
t
@-inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
2.0ms
x
@inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))
2.0ms
x
@-inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))

simplify114.0ms (0.4%)

Memory
11.3MiB live, 85.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0291496
1611484
21901476
37191476
425471476
544301476
662031476
080641476
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* 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))))))
(* 1/18 (* (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))))
(* 1/3 (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))))))
(* 1/18 (* (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))))
(* 1/3 (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 (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))))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ 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))))))
(* 1/18 (* (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 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ 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))))))
(* 1/18 (* (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 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ 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))))))
(* 1/18 (* (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 (/ 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))
(* 1/3 (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))))))
(* 1/18 (* (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 (/ 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))
(* 1/3 (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))))))
(* 1/18 (* (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 (/ 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))
(* 1/3 (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))))))
(* 1/18 (* (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 (/ 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))
(* 1/3 (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))))))
(* 1/18 (* (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 (/ 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))
(* 1/3 (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))))))
(* 1/18 (* (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 (/ 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))
(* 1/3 (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))))))
(* 1/18 (* (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))))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal -1/18 binary64))) #s(literal 1/3 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
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rewrite258.0ms (1%)

Memory
-32.9MiB live, 100.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01850
02950
16942
238736
3374236
0821436
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 518
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
Outputs
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eval365.0ms (1.4%)

Memory
21.1MiB live, 182.1MiB allocated
Compiler

Compiled 12 388 to 2 590 computations (79.1% saved)

prune138.0ms (0.5%)

Memory
-20.7MiB live, 130.8MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New6713674
Fresh000
Picked101
Done000
Total6723675
Accuracy
98.5%
Counts
675 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
▶98.1%
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
▶98.4%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Compiler

Compiled 69 to 55 computations (20.3% saved)

simplify213.0ms (0.8%)

Memory
14.9MiB live, 127.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff128
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
cost-diff320
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
cost-diff0
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
cost-diff128
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
cost-diff0
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
cost-diff0
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047344
072343
1131339
2304337
3718337
41938337
53577337
64002337
74479337
85238337
95961337
106526337
117187337
127459337
137459337
147559337
157599337
167599337
08058334
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 2 binary64)
#s(literal 1/3 binary64)
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))
#s(literal 1/2 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z

localize181.0ms (0.7%)

Memory
-11.2MiB live, 275.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.26009750976844204
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy0.98828125
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
accuracy2.836527856762708
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy3.3385371905674797
(/.f64 (/.f64 x y) z)
accuracy0.26009750976844204
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy0.99609375
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
accuracy2.836527856762708
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy3.3385371905674797
(/.f64 (/.f64 x y) z)
accuracy0.2421875
(/.f64 (sqrt.f64 t) z)
accuracy0.9921875
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
accuracy2.7465530899176236
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy4.808657842508542
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
Samples
147.0ms256×0valid
Compiler

Compiled 664 to 82 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 41.0ms (40.7% of total)
const: 28.0ms (27.8% of total)
ival-div: 15.0ms (14.9% of total)
ival-acos: 4.0ms (4% of total)
ival-add: 2.0ms (2% of total)
ival-asin: 2.0ms (2% of total)
ival-sqrt: 2.0ms (2% of total)
ival-pow2: 2.0ms (2% of total)
ival-pi: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series157.0ms (0.6%)

Memory
41.6MiB live, 230.5MiB allocated
Counts
18 → 660
Calls
Call 1
Inputs
#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (patch (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (PI.f64)) (patch (*.f64 #s(literal 1/2 binary64) (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sqrt.f64 t) z) y) (patch (/.f64 (/.f64 (sqrt.f64 t) z) y) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 t) z) (patch (/.f64 (sqrt.f64 t) z) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (taylor 0 t) (#s(alt (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (patch (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (taylor 0 t) (#s(alt (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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Calls

12 calls:

TimeVariablePointExpression
51.0ms
y
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (PI)) (PI) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (* 1/18 (/ (/ x y) z)))
27.0ms
z
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (PI)) (PI) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (* 1/18 (/ (/ x y) z)))
9.0ms
x
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (PI)) (PI) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (* 1/18 (/ (/ x y) z)))
8.0ms
t
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (PI)) (PI) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (* 1/18 (/ (/ x y) z)))
6.0ms
t
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) 1/3) (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)) (* (* (/ (/ (sqrt t) z) y) x) 1/18) (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (/ (* (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) 1/3) (+ (* 1/2 (PI)) (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))))) (- (* 1/4 (* (PI) (PI))) (pow (asin (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 2)) (* 1/4 (* (PI) (PI))) (+ (* (* 1/2 (PI)) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (PI)) (PI) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (* 1/18 (/ (/ x y) z)))

simplify168.0ms (0.6%)

Memory
-50.5MiB live, 288.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0659300
11479036
24449000
315719000
438569000
561559000
080388808
Stop Event
1×iter limit
1×node limit
Counts
660 → 660
Calls
Call 1
Inputs
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ 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 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ 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))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ 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 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ 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))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ 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 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
(* 1/18 (/ x (* y z)))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
(/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 #s(literal 1/12 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)))
(- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* (sqrt t) (/ 1 z))
(/.f64 (sqrt.f64 t) z)
(* (sqrt t) (/ 1 z))
(/.f64 (sqrt.f64 t) z)
(* (sqrt t) (/ 1 z))
(/.f64 (sqrt.f64 t) z)
(* (sqrt t) (/ 1 z))
(/.f64 (sqrt.f64 t) z)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
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rewrite235.0ms (0.9%)

Memory
23.9MiB live, 329.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047223
072194
1238191
21615189
08745189
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 582
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64)))
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(PI.f64)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
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Outputs
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eval933.0ms (3.6%)

Memory
-34.2MiB live, 1 258.1MiB allocated
Compiler

Compiled 124 573 to 10 692 computations (91.4% saved)

prune263.0ms (1%)

Memory
-41.8MiB live, 490.8MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3 62543 629
Fresh000
Picked213
Done000
Total3 62753 632
Accuracy
100.0%
Counts
3 632 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
▶98.5%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
▶100.0%
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64))))
✓98.4%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
▶97.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Compiler

Compiled 104 to 90 computations (13.5% saved)

simplify197.0ms (0.8%)

Memory
17.1MiB live, 130.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
cost-diff128
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
cost-diff320
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
cost-diff12864
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
cost-diff0
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) (PI.f64))
cost-diff0
(*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)))
cost-diff128
(-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))))
cost-diff0
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))
cost-diff0
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)))
cost-diff0
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060452
097439
1182437
2388435
3814435
42145435
53710435
64320435
75059435
86037435
96705435
107434435
117916435
127955435
08041433
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)
(/.f64 (sqrt.f64 t) (*.f64 y z))
(sqrt.f64 t)
t
(*.f64 y z)
y
z
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64))))
(-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)))
#s(literal 1/36 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))
#s(literal 1/9 binary64)
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
#s(literal 1/18 binary64)
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))
x
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
#s(literal 2 binary64)
(fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64)))
#s(literal 1/6 binary64)
(*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))
#s(literal -1/3 binary64)
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
#s(literal 1/18 binary64)
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))
x
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
#s(literal 1/2 binary64)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (sqrt.f64 t) (*.f64 y z))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(sqrt.f64 t)
t
(*.f64 y z)
(*.f64 z y)
y
z
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64))))
(/.f64 (/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))
(-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/9 binary64) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)))
(*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
(*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64)) #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
(pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 2 binary64))
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
x
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
#s(literal 2 binary64)
(fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64)))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
#s(literal 1/6 binary64)
(*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
#s(literal -1/3 binary64)
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
x
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
(neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(neg.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
(asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z

localize235.0ms (0.9%)

Memory
32.9MiB live, 264.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy1.0
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy2.836527856762708
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy3.3385371905674797
(/.f64 (/.f64 x y) z)
accuracy0.2421875
(/.f64 (sqrt.f64 t) z)
accuracy0.98828125
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
accuracy2.7465530899176236
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy4.808657842508542
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))
accuracy0.984375
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64))))
accuracy0.9921875
(fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64)))
accuracy2.7465530899176236
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy4.808657842508542
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))
accuracy0.234375
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))
accuracy0.9921875
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
accuracy3.4224113996859704
(/.f64 (sqrt.f64 t) (*.f64 y z))
accuracy4.808657842508542
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)
Samples
158.0ms256×0valid
Compiler

Compiled 881 to 111 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 122.0ms
const: 44.0ms (35.9% of total)
ival-mult: 38.0ms (31% of total)
ival-div: 16.0ms (13.1% of total)
ival-acos: 4.0ms (3.3% of total)
ival-add: 3.0ms (2.5% of total)
ival-asin: 3.0ms (2.5% of total)
ival-cbrt: 3.0ms (2.5% of total)
ival-pow2: 3.0ms (2.5% of total)
ival-pow: 3.0ms (2.5% of total)
ival-sqrt: 2.0ms (1.6% 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-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.9s (30.3%)

Memory
-16.2MiB live, 161.6MiB allocated
Counts
25 → 852
Calls
Call 1
Inputs
#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))) (patch (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (patch (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) #<representation binary64>) () ())
#s(alt (*.f64 (PI.f64) (PI.f64)) (patch (*.f64 (PI.f64) (PI.f64)) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))) (patch (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))) #<representation binary64>) () ())
#s(alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) (patch (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #<representation binary64>) () ())
#s(alt (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (patch (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) (patch (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) (patch (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) (patch (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 t) (*.f64 y z)) (patch (/.f64 (sqrt.f64 t) (*.f64 y z)) #<representation binary64>) () ())
#s(alt (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) (patch (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sqrt.f64 t) z) y) (patch (/.f64 (/.f64 (sqrt.f64 t) z) y) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 t) z) (patch (/.f64 (sqrt.f64 t) z) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())
#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())
#s(alt (pow.f64 (PI.f64) #s(literal 3 binary64)) (patch (pow.f64 (PI.f64) #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) (patch #s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))) (taylor 0 t) (#s(alt (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) (patch (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (acos (* 1/18 (* (sqrt t) (/ x (* y z))))) (taylor 0 t) (#s(alt (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) (patch (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor 0 t) (#s(alt (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)) (patch (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64))) (patch (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64)))) (patch (/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (/ x (* y z)) (taylor -inf x) (#s(alt (/.f64 (/.f64 x y) z) (patch (/.f64 (/.f64 x y) z) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
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#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) (patch (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
3.9s
t
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (sqrt t) (* y z)) x) 1/18)) 1/3) (acos (* (* (/ (sqrt t) (* y z)) x) 1/18)) (* (* (/ (sqrt t) (* y z)) x) 1/18) (- (* 1/36 (* (PI) (PI))) (* 1/9 (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2))) (* 1/36 (* (PI) (PI))) (* (PI) (PI)) (PI) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))))) (* -1/3 (asin (* 1/18 (* x (/ (/ (sqrt t) z) y))))) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) (cbrt (pow (PI) 3)) (+ (* (* 1/2 (cbrt (pow (PI) 3))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (cbrt (pow (PI) 3))) (* (/ (sqrt t) (* y z)) x) (/ (sqrt t) (* y z)) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (+ (* 1/6 (PI)) (* (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 1/3)) (/ (- (* 1/36 (* (PI) (PI))) (* 1/9 (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2))) (+ (* 1/6 (PI)) (* (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 1/3))) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3))
3.9s
y
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (sqrt t) (* y z)) x) 1/18)) 1/3) (acos (* (* (/ (sqrt t) (* y z)) x) 1/18)) (* (* (/ (sqrt t) (* y z)) x) 1/18) (- (* 1/36 (* (PI) (PI))) (* 1/9 (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2))) (* 1/36 (* (PI) (PI))) (* (PI) (PI)) (PI) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))))) (* -1/3 (asin (* 1/18 (* x (/ (/ (sqrt t) z) y))))) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) (cbrt (pow (PI) 3)) (+ (* (* 1/2 (cbrt (pow (PI) 3))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (cbrt (pow (PI) 3))) (* (/ (sqrt t) (* y z)) x) (/ (sqrt t) (* y z)) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (+ (* 1/6 (PI)) (* (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 1/3)) (/ (- (* 1/36 (* (PI) (PI))) (* 1/9 (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2))) (+ (* 1/6 (PI)) (* (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 1/3))) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3))
4.0ms
t
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (sqrt t) (* y z)) x) 1/18)) 1/3) (acos (* (* (/ (sqrt t) (* y z)) x) 1/18)) (* (* (/ (sqrt t) (* y z)) x) 1/18) (- (* 1/36 (* (PI) (PI))) (* 1/9 (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2))) (* 1/36 (* (PI) (PI))) (* (PI) (PI)) (PI) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))))) (* -1/3 (asin (* 1/18 (* x (/ (/ (sqrt t) z) y))))) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) (cbrt (pow (PI) 3)) (+ (* (* 1/2 (cbrt (pow (PI) 3))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (cbrt (pow (PI) 3))) (* (/ (sqrt t) (* y z)) x) (/ (sqrt t) (* y z)) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (+ (* 1/6 (PI)) (* (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 1/3)) (/ (- (* 1/36 (* (PI) (PI))) (* 1/9 (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2))) (+ (* 1/6 (PI)) (* (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 1/3))) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3))
4.0ms
z
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (sqrt t) (* y z)) x) 1/18)) 1/3) (acos (* (* (/ (sqrt t) (* y z)) x) 1/18)) (* (* (/ (sqrt t) (* y z)) x) 1/18) (- (* 1/36 (* (PI) (PI))) (* 1/9 (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2))) (* 1/36 (* (PI) (PI))) (* (PI) (PI)) (PI) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))))) (* -1/3 (asin (* 1/18 (* x (/ (/ (sqrt t) z) y))))) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) (cbrt (pow (PI) 3)) (+ (* (* 1/2 (cbrt (pow (PI) 3))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (cbrt (pow (PI) 3))) (* (/ (sqrt t) (* y z)) x) (/ (sqrt t) (* y z)) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (+ (* 1/6 (PI)) (* (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 1/3)) (/ (- (* 1/36 (* (PI) (PI))) (* 1/9 (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2))) (+ (* 1/6 (PI)) (* (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 1/3))) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3))
4.0ms
t
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* (/ (sqrt t) (* y z)) x) 1/18)) 1/3) (acos (* (* (/ (sqrt t) (* y z)) x) 1/18)) (* (* (/ (sqrt t) (* y z)) x) 1/18) (- (* 1/36 (* (PI) (PI))) (* 1/9 (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2))) (* 1/36 (* (PI) (PI))) (* (PI) (PI)) (PI) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))))) (* -1/3 (asin (* 1/18 (* x (/ (/ (sqrt t) z) y))))) (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) (cbrt (pow (PI) 3)) (+ (* (* 1/2 (cbrt (pow (PI) 3))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (* 1/2 (cbrt (pow (PI) 3))) (* (/ (sqrt t) (* y z)) x) (/ (sqrt t) (* y z)) (* x (/ (/ (sqrt t) z) y)) (/ (/ (sqrt t) z) y) (+ (* 1/6 (PI)) (* (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 1/3)) (/ (- (* 1/36 (* (PI) (PI))) (* 1/9 (pow (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 2))) (+ (* 1/6 (PI)) (* (asin (* 1/18 (* x (/ (/ (sqrt t) z) y)))) 1/3))) (/ (sqrt t) z) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3))

simplify152.0ms (0.6%)

Memory
-25.2MiB live, 287.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06311748
114511364
243411316
3155311316
4388711316
5585411316
0808811028
Stop Event
1×iter limit
1×node limit
Counts
852 → 852
Calls
Call 1
Inputs
(* 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))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
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(* (sqrt t) (/ 1 (* y z)))
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(* (sqrt t) (/ 1 (* y z)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(* (sqrt t) (/ 1 z))
(* (sqrt t) (/ 1 z))
(* (sqrt t) (/ 1 z))
(* (sqrt t) (/ 1 z))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ 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))))
(* 1/3 (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))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ 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))))
(* 1/3 (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))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ (- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))) (+ (* 1/6 (PI)) (* 1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
(/ x (* y z))
(/ x (* y z))
(/ x (* y z))
(/ 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))))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/9 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/9 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/9 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)))
(- (* 1/36 (pow (PI) 2)) (* 1/9 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
(fma.f64 #s(literal -1/9 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/36 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
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rewrite240.0ms (0.9%)

Memory
5.7MiB live, 401.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060285
097241
1321239
22194239
08505238
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 1 435
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))
(-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
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(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)
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(/.f64 (sqrt.f64 t) z)
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(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
Outputs
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eval471.0ms (1.8%)

Memory
27.6MiB live, 966.0MiB allocated
Compiler

Compiled 114 642 to 6 287 computations (94.5% saved)

prune77.0ms (0.3%)

Memory
5.7MiB live, 225.9MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3 10123 103
Fresh000
Picked314
Done011
Total3 10443 108
Accuracy
100.0%
Counts
3 108 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))))
▶96.5%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))))
✓98.4%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
✓97.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Compiler

Compiled 68 to 65 computations (4.4% saved)

simplify531.0ms (2%)

Memory
-17.5MiB live, 336.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff128
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))))
cost-diff768
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))))
cost-diff1600
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))
cost-diff0
(asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))
cost-diff0
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))
cost-diff0
(PI.f64)
cost-diff0
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028207
050207
193195
2188192
3353188
4476188
5642188
61072188
72790188
84421188
95801188
106343188
116800188
126853188
136861188
147148188
157394188
167394188
177394188
08324187
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))
#s(literal -1/3 binary64)
(asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))
#s(literal 1/18 binary64)
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 z y)
z
y
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))))
#s(literal -1/3 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
Outputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))))
(fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))
(asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(*.f64 x (sqrt.f64 t))
(*.f64 (sqrt.f64 t) x)
x
(sqrt.f64 t)
t
(*.f64 z y)
(*.f64 y z)
z
y
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
#s(literal -1/3 binary64)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)

localize609.0ms (2.3%)

Memory
-12.9MiB live, 284.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.7465530899176236
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy4.808657842508542
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
accuracy61.08750353409096
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))
accuracy0.20703125
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))
accuracy0.234375
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))
accuracy0.98828125
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))))
accuracy7.8783705703068785
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))
Samples
351.0ms143×2valid
94.0ms109×1valid
1.0ms4×0valid
Compiler

Compiled 421 to 60 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 385.0ms
const: 120.0ms (31.2% of total)
ival-pi: 87.0ms (22.6% of total)
ival-sqrt: 74.0ms (19.2% of total)
ival-mult: 51.0ms (13.3% of total)
adjust: 14.0ms (3.6% of total)
ival-div: 12.0ms (3.1% of total)
ival-acos: 10.0ms (2.6% of total)
ival-add: 9.0ms (2.3% of total)
ival-asin: 4.0ms (1% of total)
ival-neg: 3.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series120.0ms (0.5%)

Memory
-0.0MiB live, 77.5MiB allocated
Counts
12 → 468
Calls
Call 1
Inputs
#s(alt (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))) #<representation binary64>) () ())
#s(alt (PI.f64) (patch (PI.f64) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))) (patch (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))) #<representation binary64>) () ())
#s(alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))) (patch (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) (patch (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))) #<representation binary64>) () ())
#s(alt (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))) (patch (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)) (patch (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))) #<representation binary64>) () ())
#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (sqrt.f64 t) z) y) (patch (/.f64 (/.f64 (sqrt.f64 t) z) y) #<representation binary64>) () ())
#s(alt (sqrt.f64 (PI.f64)) (patch (sqrt.f64 (PI.f64)) #<representation binary64>) () ())
Outputs
#s(alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) (taylor 0 t) (#s(alt (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) (taylor 0 t) (#s(alt (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) (taylor 0 t) (#s(alt (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI))) (taylor 0 t) (#s(alt (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))) (patch (fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))) #<representation binary64>) () ())) ())
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#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)) (patch (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* 1/18 (* (sqrt t) (/ x (* y z)))) (taylor -inf x) (#s(alt (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))) (patch (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ())
#s(alt (* (sqrt t) (/ x (* y z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) (patch (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
7.0ms
z
@-inf
((+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (/ (* x (sqrt t)) (* z y)))))) (PI) (* -1/3 (asin (* 1/18 (/ (* x (sqrt t)) (* z y))))) (asin (* 1/18 (/ (* x (sqrt t)) (* z y)))) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))) (+ (* (PI) 1/6) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))))) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))))) (/ (* x (sqrt t)) (* z y)) (* 1/18 (/ (* x (sqrt t)) (* z y))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (sqrt (PI)))
2.0ms
t
@-inf
((+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (/ (* x (sqrt t)) (* z y)))))) (PI) (* -1/3 (asin (* 1/18 (/ (* x (sqrt t)) (* z y))))) (asin (* 1/18 (/ (* x (sqrt t)) (* z y)))) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))) (+ (* (PI) 1/6) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))))) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))))) (/ (* x (sqrt t)) (* z y)) (* 1/18 (/ (* x (sqrt t)) (* z y))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (sqrt (PI)))
2.0ms
t
@0
((+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (/ (* x (sqrt t)) (* z y)))))) (PI) (* -1/3 (asin (* 1/18 (/ (* x (sqrt t)) (* z y))))) (asin (* 1/18 (/ (* x (sqrt t)) (* z y)))) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))) (+ (* (PI) 1/6) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))))) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))))) (/ (* x (sqrt t)) (* z y)) (* 1/18 (/ (* x (sqrt t)) (* z y))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (sqrt (PI)))
2.0ms
y
@-inf
((+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (/ (* x (sqrt t)) (* z y)))))) (PI) (* -1/3 (asin (* 1/18 (/ (* x (sqrt t)) (* z y))))) (asin (* 1/18 (/ (* x (sqrt t)) (* z y)))) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))) (+ (* (PI) 1/6) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))))) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))))) (/ (* x (sqrt t)) (* z y)) (* 1/18 (/ (* x (sqrt t)) (* z y))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (sqrt (PI)))
2.0ms
t
@inf
((+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (/ (* x (sqrt t)) (* z y)))))) (PI) (* -1/3 (asin (* 1/18 (/ (* x (sqrt t)) (* z y))))) (asin (* 1/18 (/ (* x (sqrt t)) (* z y)))) (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))) (+ (* (PI) 1/6) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18)))))) (* -1/3 (+ (* (* 1/2 (sqrt (PI))) (sqrt (PI))) (neg (acos (* (* (/ (/ (sqrt t) z) y) x) 1/18))))) (/ (* x (sqrt t)) (* z y)) (* 1/18 (/ (* x (sqrt t)) (* z y))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (sqrt (PI)))

simplify352.0ms (1.4%)

Memory
-4.2MiB live, 116.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0476168
11046000
23235976
313705784
434915592
553405592
677405592
080265496
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
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(* 1/18 (* (sqrt t) (/ x (* y z))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (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 (* y z))))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ 1 (* y z)))
(* (sqrt t) (/ 1 (* y z)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(asin (* 1/18 (* (sqrt t) (/ x (* y z)))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
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(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
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(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
(* (sqrt t) (/ x (* y z)))
Outputs
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
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(+ (* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))) (* 1/6 (PI)))
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(* (sqrt t) (/ x (* y z)))
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(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
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(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
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(* (sqrt t) (/ x (* y z)))
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(* (sqrt t) (/ 1 (* y z)))
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(* (sqrt t) (/ 1 (* y z)))
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(* (sqrt t) (/ 1 (* y z)))
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(/.f64 (/.f64 (sqrt.f64 t) z) y)
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
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(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
(* -1/3 (- (* 1/2 (PI)) (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) (*.f64 #s(literal -1/6 binary64) (PI.f64)))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))

rewrite2.3s (8.8%)

Memory
10.7MiB live, 163.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028139
050115
1171115
21210109
08908109
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 1 033
Calls
Call 1
Inputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))))
(PI.f64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))))
(asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))))
(*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))))
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(sqrt.f64 (PI.f64))
Outputs
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eval862.0ms (3.3%)

Memory
25.8MiB live, 736.8MiB allocated
Compiler

Compiled 46 839 to 3 792 computations (91.9% saved)

prune71.0ms (0.3%)

Memory
-28.4MiB live, 141.6MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 67121 673
Fresh000
Picked112
Done022
Total1 67251 677
Accuracy
100.0%
Counts
1 677 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/6 binary64) (PI.f64))))
99.1%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)))))))
✓96.5%
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))))
✓98.4%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
✓97.5%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Compiler

Compiled 356 to 180 computations (49.4% saved)

regimes60.0ms (0.2%)

Memory
-1.1MiB live, 112.5MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/6 binary64) (PI.f64))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/9 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/6 binary64) (PI.f64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1/3 binary64))))
Outputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))))
Calls

13 calls:

7.0ms
t
7.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
5.0ms
x
4.0ms
(*.f64 z #s(literal 2 binary64))
4.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
100.0%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
100.0%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
100.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
100.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
100.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
100.0%1(*.f64 y #s(literal 27 binary64))
100.0%1(*.f64 z #s(literal 2 binary64))
100.0%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes46.0ms (0.2%)

Memory
3.7MiB live, 126.2MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/6 binary64) (PI.f64))))
Outputs
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/6 binary64) (PI.f64))))
Calls

13 calls:

7.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
4.0ms
x
3.0ms
y
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
100.0%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
100.0%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
100.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
100.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
100.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
100.0%1(*.f64 y #s(literal 27 binary64))
100.0%1(*.f64 z #s(literal 2 binary64))
100.0%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes60.0ms (0.2%)

Memory
-9.9MiB live, 70.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)))))))
Outputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)))))))
Calls

13 calls:

7.0ms
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
z
3.0ms
(sqrt.f64 t)
3.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
99.1%1x
99.1%1y
99.1%1z
99.1%1t
99.1%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))))
99.1%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)))
99.1%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))
99.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.1%1(*.f64 y #s(literal 27 binary64))
99.1%1(*.f64 z #s(literal 2 binary64))
99.1%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes64.0ms (0.2%)

Memory
16.7MiB live, 56.1MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
Calls

13 calls:

34.0ms
t
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
z
3.0ms
(sqrt.f64 t)
3.0ms
(*.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 83 to 108 computations (-30.1% saved)

regimes63.0ms (0.2%)

Memory
9.6MiB live, 48.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 z y))))))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Calls

13 calls:

41.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
2.0ms
(*.f64 y #s(literal 27 binary64))
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
t
2.0ms
z
Results
AccuracySegmentsBranch
98.4%1x
98.4%1y
98.4%1z
98.4%1t
98.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.4%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.4%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.4%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.4%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.4%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.4%1(*.f64 y #s(literal 27 binary64))
98.4%1(*.f64 z #s(literal 2 binary64))
98.4%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes58.0ms (0.2%)

Memory
-3.4MiB live, 36.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

13 calls:

42.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
1.0ms
(sqrt.f64 t)
1.0ms
z
1.0ms
(*.f64 z #s(literal 2 binary64))
1.0ms
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
97.5%1x
97.5%1y
97.5%1z
97.5%1t
97.5%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))))
97.5%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)))
97.5%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))
97.5%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
97.5%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
97.5%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
97.5%1(*.f64 y #s(literal 27 binary64))
97.5%1(*.f64 z #s(literal 2 binary64))
97.5%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify69.0ms (0.3%)

Memory
-0.4MiB live, 39.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059149
180149
284149
386149
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/6 binary64) (PI.f64))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Outputs
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) #s(literal -1/3 binary64)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/6 binary64) (PI.f64))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 #s(literal 1/6 binary64) (PI.f64))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64)))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (fma.f64 (*.f64 (sqrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)) (neg.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal -1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))

soundness1.0s (4%)

Memory
-6.9MiB live, 426.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0291496
1611484
21901476
37191476
425471476
544301476
662031476
080641476
060285
097241
1321239
22194239
08505238
01850
02950
16942
238736
3374236
0821436
047223
072194
1238191
21615189
08745189
028139
050115
1171115
21210109
08908109
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 281 to 165 computations (41.3% saved)

preprocess197.0ms (0.8%)

Memory
5.3MiB live, 164.7MiB allocated
Compiler

Compiled 590 to 406 computations (31.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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