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

Time bar (total: 17.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze411.0ms (2.3%)

Memory
-16.8MiB live, 489.1MiB 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)

sample6.3s (35.8%)

Memory
-9.1MiB live, 5 256.1MiB allocated
Samples
3.2s15 914×0invalid
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-div: 1.6s (46.2% of total)
ival-mult: 1.0s (28.9% of total)
ival-sqrt: 565.0ms (16.2% of total)
ival-acos: 238.0ms (6.8% of total)
exact: 38.0ms (1.1% of total)
ival-true: 18.0ms (0.5% of total)
ival-assert: 10.0ms (0.3% of total)
Bogosity

explain242.0ms (1.4%)

Memory
37.1MiB live, 309.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
180-2(2.30953170772149e-225 -1.0731126181762654e+219 -2.181937388503541e-130 4.61636268500947e+195)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
170-2(-4.08494614229346e-242 3.324758168420102e+75 -0.008326455983178539 2.2977657917877585e-129)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-(/.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 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))n*u160
/.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)))underflow51
↳(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow51
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))o/n10
↳(/.f64 x (*.f64 y #s(literal 27 binary64)))overflow1
↳(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))overflow1
Confusion
Predicted +Predicted -
+10
-30225
Precision
0.03225806451612903
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-300225
Precision?
0.03225806451612903
Recall?
1.0
Freqs
test
numberfreq
0225
131
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
123.0ms512×0valid
Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-div: 53.0ms (52.6% of total)
ival-sqrt: 26.0ms (25.8% of total)
ival-mult: 14.0ms (13.9% of total)
ival-acos: 6.0ms (5.9% of total)
exact: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess308.0ms (1.8%)

Memory
-1.7MiB live, 114.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089246
1275212
2967184
33633184
44329184
55231184
66476184
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.7%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify124.0ms (0.7%)

Memory
-23.7MiB live, 61.4MiB 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-diff2
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
cost-diff2
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-diff2
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01886
02986
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

localize62.0ms (0.4%)

Memory
-0.8MiB live, 34.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.4441370830018797
(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy0.96875
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy3.884359243861762
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy5.6570716437645405
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
27.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (42.5% of total)
ival-div: 5.0ms (30.4% of total)
ival-sqrt: 2.0ms (12.2% of total)
ival-acos: 2.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.3%)

Memory
2.3MiB live, 40.1MiB allocated
Counts
6 → 7
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
Outputs
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/27 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
Calls

12 calls:

TimeVariablePointExpression
30.0ms
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)) (/ x (* y 27)))
5.0ms
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)) (/ x (* y 27)))
4.0ms
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)) (/ x (* y 27)))
3.0ms
x
@inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))
3.0ms
x
@0
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)))

simplify113.0ms (0.6%)

Memory
-6.7MiB live, 81.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03168
16665
219763
373063
4261463
5449363
6628463
0804863
Stop Event
1×iter limit
1×node limit
Counts
7 → 7
Calls
Call 1
Inputs
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/27 (/ x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
Outputs
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))

rewrite186.0ms (1.1%)

Memory
38.2MiB live, 148.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01855
02955
16947
238741
3376241
0836841
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 588
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
Outputs
#s(literal 1/3 binary64)
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (*.f64 x #s(literal 1/27 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (/.f64 (neg.f64 x) y)) #s(literal -1 binary64)) #s(literal -1/27 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/27 binary64) (/.f64 x y)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 x #s(literal 1/9 binary64))) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1/27 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (/.f64 x y)) #s(literal -1 binary64)) #s(literal 1/27 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (*.f64 #s(literal 27 binary64) y)))
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) #s(literal 27 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 z #s(literal 2/3 binary64)) x) y) #s(literal -1 binary64)) #s(literal 1/27 binary64))
(*.f64 (pow.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))))
(*.f64 (pow.f64 (/.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 z) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 z #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z #s(literal -3 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 z) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal -1 binary64)) #s(literal -3/2 binary64))
(*.f64 (pow.f64 (/.f64 z (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -1 binary64)) #s(literal -3/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 z (*.f64 x #s(literal 1/27 binary64))) #s(literal -1 binary64)))
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(/.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) (*.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (*.f64 #s(literal -1/27 binary64) (/.f64 x y))) #s(literal -2 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (/.f64 x y)) #s(literal 54 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (neg.f64 x)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) #s(literal 1 binary64)) (*.f64 #s(literal 54 binary64) (/.f64 y x)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 x y)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (neg.f64 x)) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) (sqrt.f64 t)) z)
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 3/2 binary64) z))) (*.f64 #s(literal 27 binary64) y))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 27 binary64) y) x))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) x) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal -1 binary64)) (*.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(/.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z #s(literal 2/3 binary64)) x)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (sqrt.f64 t) #s(literal 2/3 binary64)) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x)))
(/.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x))) #s(literal 2/3 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))) #s(literal -2 binary64))
(/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 (neg.f64 z) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (*.f64 z (*.f64 #s(literal 27 binary64) y)))
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) (sqrt.f64 t)) (*.f64 y (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 z #s(literal 54 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (sqrt.f64 t)) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) z) #s(literal 2 binary64)) (*.f64 #s(literal 9 binary64) (/.f64 y x)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))) z)
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/54 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (sqrt.f64 t)) (*.f64 #s(literal 54 binary64) (/.f64 y x)))
(/.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 18 binary64) (/.f64 x y)))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/2 binary64)) (*.f64 (/.f64 z (*.f64 x #s(literal 1/9 binary64))) y))
(/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (sqrt.f64 t) (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y))))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z)))
(neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(exp.f64 (fma.f64 (log.f64 t) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64) (*.f64 (log.f64 t) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 z (sqrt.f64 t)) (/.f64 #s(literal 18 binary64) (/.f64 x y)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/27 binary64))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x #s(literal 1/27 binary64)))
(*.f64 (pow.f64 (/.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -27 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (neg.f64 x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -27 binary64)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1/27 binary64) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/27 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 27 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x #s(literal 1/27 binary64)))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (neg.f64 x))
(*.f64 (*.f64 x #s(literal 1/27 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/27 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/27 binary64) (/.f64 x y)))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) (/.f64 (*.f64 #s(literal 27 binary64) y) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 x #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 #s(literal -27 binary64) y) (/.f64 (neg.f64 x) #s(literal 27 binary64)))) (*.f64 (*.f64 #s(literal -27 binary64) y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)) (*.f64 (*.f64 #s(literal -27 binary64) y) (/.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 27 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 #s(literal -27 binary64) y) (/.f64 x #s(literal -27 binary64)))) (*.f64 (*.f64 #s(literal -27 binary64) y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 #s(literal -27 binary64) y) (neg.f64 (*.f64 x #s(literal 1/27 binary64))))) (*.f64 (*.f64 #s(literal -27 binary64) y) y))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 x #s(literal 1/27 binary64)))) (*.f64 (*.f64 #s(literal -27 binary64) y) (neg.f64 y)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -27 binary64) y) (/.f64 (neg.f64 x) y))) (*.f64 (*.f64 #s(literal -27 binary64) y) #s(literal 27 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x)) (*.f64 (*.f64 #s(literal -27 binary64) y) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -27 binary64) y) (/.f64 (*.f64 #s(literal 27 binary64) y) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -27 binary64) y) (/.f64 x y))) (*.f64 (*.f64 #s(literal -27 binary64) y) #s(literal -27 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 27 binary64) y)) (*.f64 (*.f64 #s(literal -27 binary64) y) (neg.f64 x))) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 27 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -27 binary64) y)) (*.f64 (*.f64 #s(literal -27 binary64) y) x)) (pow.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -27 binary64) y) x)) (*.f64 (*.f64 #s(literal -27 binary64) y) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -27 binary64) y) (/.f64 (*.f64 #s(literal -27 binary64) y) x)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/27 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/27 binary64) x) y)
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (neg.f64 x) #s(literal 27 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/27 binary64))) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/27 binary64))) y)
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) #s(literal -27 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 27 binary64) x))
(/.f64 #s(literal 1/27 binary64) (/.f64 y x))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -27 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -27 binary64) y) x))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 (/.f64 #s(literal 1/27 binary64) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (*.f64 #s(literal -27 binary64) y))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x))
(neg.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -27 binary64) y)) (*.f64 #s(literal -1/27 binary64) (/.f64 x y)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/27 binary64) (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x)) #s(literal -1 binary64)))

eval199.0ms (1.1%)

Memory
-12.9MiB live, 189.8MiB allocated
Compiler

Compiled 11 751 to 3 099 computations (73.6% saved)

prune10.0ms (0.1%)

Memory
0.4MiB live, 36.8MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5904594
Fresh000
Picked101
Done000
Total5914595
Accuracy
98.5%
Counts
595 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.7%
(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)))
▶97.7%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
▶97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
▶97.7%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
Compiler

Compiled 82 to 76 computations (7.3% saved)

simplify100.0ms (0.6%)

Memory
-5.0MiB live, 69.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (PI.f64))
cost-diff1
(*.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-diff2
(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
(sqrt.f64 t)
cost-diff0
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
cost-diff2
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
cost-diff2
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
cost-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
049327
075322
1125310
2279302
3643302
41738302
53289302
63417302
73510302
83626302
93674302
104039302
114378302
124400302
134400302
144400302
04400301
Stop Event
1×iter limit
1×saturated
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 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
#s(literal 3 binary64)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.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 1/3 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 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
y
x
#s(literal 1/18 binary64)
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.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 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x)
#s(literal 3 binary64)
(/.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
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(PI.f64)
#s(literal 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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x)
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z

localize123.0ms (0.7%)

Memory
-4.8MiB live, 204.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.2421875
(*.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))
accuracy0.96484375
(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)))
accuracy3.884359243861762
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy5.658556121591204
(/.f64 (/.f64 x y) z)
accuracy0.24123002930532603
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy0.96875
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
accuracy3.884359243861762
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy5.658556121591204
(/.f64 (/.f64 x y) z)
accuracy0.4441370830018797
(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy0.96875
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy3.884359243861762
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy5.6570716437645405
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
accuracy0.265625
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
accuracy0.96875
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
accuracy2.560790036400187
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy4.695531255262398
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
Samples
90.0ms256×0valid
Compiler

Compiled 318 to 43 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 28.0ms (41.9% of total)
ival-div: 18.0ms (27% of total)
const: 7.0ms (10.5% of total)
ival-acos: 6.0ms (9% of total)
ival-asin: 2.0ms (3% of total)
ival-sqrt: 2.0ms (3% of total)
ival-pi: 1.0ms (1.5% of total)
ival-add: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series43.0ms (0.2%)

Memory
-3.4MiB live, 73.0MiB allocated
Counts
22 → 20
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 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.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)
(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 (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))
(PI.f64)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(/.f64 (/.f64 x y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* (sqrt t) (/ x (* y z)))
(* 1/27 (/ x y))
(/ x (* y z))
(* (sqrt t) (/ 1 (* y z)))
(sqrt t)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
Calls

12 calls:

TimeVariablePointExpression
10.0ms
z
@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) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (+ (* (* 1/2 (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) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))
5.0ms
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) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (+ (* (* 1/2 (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) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))
3.0ms
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) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (+ (* (* 1/2 (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) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))
3.0ms
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) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (+ (* (* 1/2 (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) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))
3.0ms
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) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) 1/3) (acos (* (sqrt t) (* 1/18 (/ (/ x y) z)))) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (sqrt t) (+ (* (* 1/2 (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) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ x (* y 27)) (/ (/ x y) z) (* 1/18 (/ (/ x y) z)))

simplify131.0ms (0.8%)

Memory
16.1MiB live, 138.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050206
1111186
2329182
31600182
44737182
56866182
08150180
Stop Event
1×iter limit
1×node limit
Counts
20 → 20
Calls
Call 1
Inputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ x (* y z)))
(* 1/9 (/ x y))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* (sqrt t) (/ x (* y z)))
(* 1/27 (/ x y))
(/ x (* y z))
(* (sqrt t) (/ 1 (* y z)))
(sqrt t)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
Outputs
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal -1/3 binary64))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* 1/27 (/ x y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(sqrt t)
(sqrt.f64 t)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) y) z)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) y) z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(sqrt.f64 t)
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) y) z)) #s(literal -1/3 binary64) (*.f64 (PI.f64) #s(literal 1/6 binary64)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) y) z)) #s(literal -1/3 binary64))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(/.f64 (/.f64 (sqrt.f64 t) z) y)

rewrite219.0ms (1.3%)

Memory
-1.3MiB live, 273.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049233
075219
1196210
21143204
08646204
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 881
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 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(acos.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)
(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 (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))
(PI.f64)
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(/.f64 (/.f64 x y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (neg.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal -1/6 binary64) (PI.f64)))))
(*.f64 (neg.f64 (fma.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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal -1/6 binary64) (PI.f64))) (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)))))))
(*.f64 (fma.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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (*.f64 (*.f64 #s(literal 1/18 binary64) (PI.f64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))))
(*.f64 (fma.f64 #s(literal -1/27 binary64) (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))) (fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal -1/6 binary64) (PI.f64))) (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1 binary64)))
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(*.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) (*.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))))) (fma.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) (*.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) (*.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (neg.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)))))) (neg.f64 (fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))) (*.f64 #s(literal -1/6 binary64) (PI.f64)))))
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(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 x y) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/18 binary64)))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/54 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))
(pow.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) z))) (*.f64 #s(literal -27 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) z) y))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) y) x)) (*.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (*.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal -27 binary64) y)))
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 #s(literal 2 binary64) y))
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal 54 binary64))
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) y) x)) #s(literal 54 binary64))
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal -54 binary64) y))
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 54 binary64) y))
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 54 binary64) (/.f64 y x)))
(/.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 9 binary64) (/.f64 y x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 z y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 z #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 3 binary64) y) x)) (*.f64 z #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3 binary64) x)) (*.f64 z (*.f64 #s(literal -27 binary64) y)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 z y) #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) z) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 3 binary64) y) x)) (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal -27 binary64)) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) y) #s(literal 27 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 (neg.f64 x) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal -54 binary64) y) (neg.f64 z)))
(/.f64 (*.f64 (/.f64 x y) #s(literal -3 binary64)) (*.f64 #s(literal 54 binary64) (neg.f64 z)))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal -1 binary64)) (*.f64 y (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (pow.f64 z #s(literal -1 binary64))) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1/2 binary64)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal -1 binary64))) #s(literal 54 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 27 binary64) z))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x) #s(literal -1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x) (pow.f64 z #s(literal -1 binary64))) #s(literal 54 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 27 binary64) z))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x) #s(literal 1 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -27 binary64) y) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) z))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 3 binary64)) (*.f64 y (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 #s(literal -3 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 #s(literal -3 binary64) (/.f64 x y)) (*.f64 (neg.f64 z) #s(literal 54 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) #s(literal 1 binary64)) (*.f64 z y))
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (neg.f64 z) x) y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 54 binary64) z))
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x) (*.f64 z #s(literal 54 binary64)))
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) z)
(/.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) z))
(/.f64 #s(literal 3/2 binary64) (*.f64 z (/.f64 (*.f64 #s(literal 27 binary64) y) x)))
(/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal -3 binary64) x) (neg.f64 (*.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 2 binary64)) z)))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 #s(literal 27 binary64) y)))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 #s(literal -54 binary64) y) z))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 #s(literal 54 binary64) y) (neg.f64 z)))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (neg.f64 z) (*.f64 #s(literal 54 binary64) y)))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 z (*.f64 #s(literal -54 binary64) y)))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) #s(literal -27 binary64)) y))
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) z) (/.f64 (*.f64 #s(literal 27 binary64) y) x)))
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) (/.f64 y x)) (neg.f64 z)))
(/.f64 #s(literal -3 binary64) (*.f64 (neg.f64 z) (*.f64 #s(literal 54 binary64) (/.f64 y x))))
(/.f64 #s(literal -3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) (*.f64 #s(literal -2 binary64) z)))
(/.f64 #s(literal -3 binary64) (*.f64 (*.f64 #s(literal -27 binary64) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 x y)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal -2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) z) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 54 binary64) y) z))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 z (*.f64 #s(literal 54 binary64) y)))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) y) #s(literal 27 binary64)))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 2 binary64)) z))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) (*.f64 #s(literal -2 binary64) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 9 binary64) (/.f64 y x)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (*.f64 z #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 #s(literal 54 binary64) (/.f64 y x)))
(/.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal -54 binary64) y) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z))
(/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) z))
(/.f64 #s(literal 1/2 binary64) (*.f64 z (*.f64 #s(literal 9 binary64) (/.f64 y x))))
(/.f64 (/.f64 x y) (*.f64 #s(literal 54 binary64) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 (/.f64 x y) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 54 binary64)))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 (*.f64 z #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/18 binary64) (/.f64 z (/.f64 x y)))
(/.f64 x (*.f64 (*.f64 #s(literal 54 binary64) y) (*.f64 z #s(literal 1/3 binary64))))
(/.f64 x (*.f64 (*.f64 z #s(literal 1/3 binary64)) (*.f64 #s(literal 54 binary64) y)))
(/.f64 #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 54 binary64) (/.f64 y x)) z))
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) (*.f64 #s(literal 2 binary64) z)))
(/.f64 #s(literal 3 binary64) (*.f64 (/.f64 z (/.f64 x y)) #s(literal 54 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 2 binary64)) z) (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) y) #s(literal 27 binary64)) (*.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 #s(literal 1/18 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (/.f64 x y)) #s(literal 1/18 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))))
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) z))
(neg.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (neg.f64 z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (/.f64 x y)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) z))))
(neg.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) y) z) #s(literal 1/18 binary64)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) y) (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1/18 binary64))))
(neg.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) z)) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (/.f64 x y)))) #s(literal -1 binary64)))

eval226.0ms (1.3%)

Memory
0.1MiB live, 269.2MiB allocated
Compiler

Compiled 31 863 to 5 030 computations (84.2% saved)

prune41.0ms (0.2%)

Memory
-13.0MiB live, 79.6MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1 05451 059
Fresh000
Picked314
Done000
Total1 05761 063
Accuracy
100.0%
Counts
1 063 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(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)))
✓97.7%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
▶98.0%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
▶97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
▶97.7%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
▶99.2%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 1/3 binary64)))
Compiler

Compiled 277 to 247 computations (10.8% saved)

simplify183.0ms (1%)

Memory
28.2MiB live, 220.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))))
cost-diff1
(*.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-diff2
(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-diff3
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
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 (/.f64 (sqrt.f64 t) z) y) x)))))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
cost-diff0
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
cost-diff2
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64)))
cost-diff0
(sqrt.f64 t)
cost-diff0
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 1/3 binary64)))
cost-diff1
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
cost-diff1
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 1/3 binary64))
cost-diff8
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
066519
0108528
1198496
2428490
3998460
42307460
53110460
63595460
74112460
84695460
95239460
106209460
116386460
126488460
08219460
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 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 1/3 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64)))
#s(literal 1/2 binary64)
(sqrt.f64 (PI.f64))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 #s(literal 1/18 binary64) (*.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 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(/.f64 x y)
x
y
#s(literal 1/9 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
(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 (/.f64 (sqrt.f64 t) z) y) x)))))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
#s(literal -1/3 binary64)
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 #s(literal 1/18 binary64) (*.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
(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 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #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)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/2 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))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(neg.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))))
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(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 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
#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 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))
(acos.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 x (*.f64 z y))))
(*.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 x (*.f64 z y)))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 z y))
(/.f64 (/.f64 x y) z)
x
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 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(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
(/.f64 x y)
x
y
#s(literal 1/9 binary64)
(*.f64 z #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) z)
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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))))
(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 (/.f64 (sqrt.f64 t) z) y) x)))))
(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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(*.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 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(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 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
#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
(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 (PI.f64) #s(literal 1/2 binary64))
#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

localize198.0ms (1.1%)

Memory
-24.9MiB live, 339.1MiB allocated
Localize:

Found 20 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)))
accuracy3.884359243861762
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy5.658556121591204
(/.f64 (/.f64 x y) z)
accuracy0.265625
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
accuracy0.96484375
(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 (/.f64 (sqrt.f64 t) z) y) x)))))
accuracy2.560790036400187
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy4.695531255262398
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
accuracy0.28744125976844204
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
accuracy0.96875
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
accuracy3.884359243861762
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy5.6570716437645405
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64)))
accuracy0.24123002930532603
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
accuracy0.96875
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
accuracy3.884359243861762
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))
accuracy4.342263210561682
(/.f64 x (*.f64 z y))
accuracy0.96875
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 1/3 binary64))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy2.560790036400187
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy4.695531255262398
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
Samples
148.0ms256×0valid
Compiler

Compiled 485 to 67 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-mult: 41.0ms (40.6% of total)
ival-div: 16.0ms (15.9% of total)
const: 14.0ms (13.9% of total)
ival-pow: 7.0ms (6.9% of total)
ival-acos: 6.0ms (5.9% of total)
ival-add: 3.0ms (3% of total)
ival-asin: 3.0ms (3% of total)
ival-sqrt: 3.0ms (3% of total)
ival-cbrt: 2.0ms (2% of total)
ival-neg: 2.0ms (2% of total)
ival-pi: 1.0ms (1% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series66.0ms (0.4%)

Memory
7.7MiB live, 52.7MiB allocated
Counts
30 → 23
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))
(sqrt.f64 t)
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
(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 (/.f64 (sqrt.f64 t) z) y) x)))))
(PI.f64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(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 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(sqrt.f64 (PI.f64))
(/.f64 x (*.f64 z y))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(/.f64 (/.f64 x y) z)
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
Outputs
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ 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))))))
(* (sqrt t) (/ x (* y z)))
(/ x (* y z))
(* 1/9 (/ x y))
(* (sqrt t) (/ 1 (* y z)))
(sqrt t)
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
Calls

12 calls:

TimeVariablePointExpression
33.0ms
z
@inf
((+ (* (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (pow (PI) 1/4)) (neg (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (* (+ (* (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (pow (PI) 1/4)) (neg (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) 1/3) (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (* (sqrt t) (* 1/18 (/ x (* z y)))) (sqrt t) (/ (* (/ x y) 1/9) (* z 2)) (* 1/3 (acos (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t)))) (acos (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t))) (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (PI) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (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) z) y) x) (/ (/ (sqrt t) z) y) (sqrt (PI)) (/ x (* z y)) (* 1/18 (/ x (* z y))) (* (/ x y) 1/9) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3))
3.0ms
z
@-inf
((+ (* (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (pow (PI) 1/4)) (neg (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (* (+ (* (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (pow (PI) 1/4)) (neg (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) 1/3) (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (* (sqrt t) (* 1/18 (/ x (* z y)))) (sqrt t) (/ (* (/ x y) 1/9) (* z 2)) (* 1/3 (acos (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t)))) (acos (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t))) (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (PI) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (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) z) y) x) (/ (/ (sqrt t) z) y) (sqrt (PI)) (/ x (* z y)) (* 1/18 (/ x (* z y))) (* (/ x y) 1/9) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3))
3.0ms
t
@-inf
((+ (* (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (pow (PI) 1/4)) (neg (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (* (+ (* (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (pow (PI) 1/4)) (neg (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) 1/3) (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (* (sqrt t) (* 1/18 (/ x (* z y)))) (sqrt t) (/ (* (/ x y) 1/9) (* z 2)) (* 1/3 (acos (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t)))) (acos (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t))) (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (PI) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (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) z) y) x) (/ (/ (sqrt t) z) y) (sqrt (PI)) (/ x (* z y)) (* 1/18 (/ x (* z y))) (* (/ x y) 1/9) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3))
3.0ms
x
@-inf
((+ (* (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (pow (PI) 1/4)) (neg (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (* (+ (* (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (pow (PI) 1/4)) (neg (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) 1/3) (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (* (sqrt t) (* 1/18 (/ x (* z y)))) (sqrt t) (/ (* (/ x y) 1/9) (* z 2)) (* 1/3 (acos (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t)))) (acos (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t))) (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (PI) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (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) z) y) x) (/ (/ (sqrt t) z) y) (sqrt (PI)) (/ x (* z y)) (* 1/18 (/ x (* z y))) (* (/ x y) 1/9) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3))
3.0ms
x
@0
((+ (* (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (pow (PI) 1/4)) (neg (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (* (+ (* (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (pow (PI) 1/4)) (neg (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) 1/3) (* (* 1/2 (sqrt (PI))) (pow (PI) 1/4)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (* (sqrt t) (* 1/18 (/ x (* z y)))) (sqrt t) (/ (* (/ x y) 1/9) (* z 2)) (* 1/3 (acos (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t)))) (acos (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t))) (* (/ (* (/ x y) 1/9) (* z 2)) (sqrt t)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (PI) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x)))) (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) z) y) x) (/ (/ (sqrt t) z) y) (sqrt (PI)) (/ x (* z y)) (* 1/18 (/ x (* z y))) (* (/ x y) 1/9) (* 1/18 (* (/ (/ (sqrt t) z) y) x)) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))) (pow (PI) 3))

simplify93.0ms (0.5%)

Memory
-5.5MiB live, 107.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054275
1119247
2351241
31656241
44877241
57070241
08381237
Stop Event
1×iter limit
1×node limit
Counts
23 → 23
Calls
Call 1
Inputs
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(* 1/18 (/ 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))))))
(* (sqrt t) (/ x (* y z)))
(/ x (* y z))
(* 1/9 (/ x y))
(* (sqrt t) (/ 1 (* y z)))
(sqrt t)
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
Outputs
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (*.f64 (sqrt.f64 t) x))))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
(fma.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (*.f64 (sqrt.f64 t) x))) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ x (* y z)))))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (*.f64 (sqrt.f64 t) x)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (*.f64 (sqrt.f64 t) x))
(* 1/18 (/ x (* y z)))
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 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 #s(literal 1/18 binary64) y) z) (*.f64 (sqrt.f64 t) 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 #s(literal 1/18 binary64) y) z) (*.f64 (sqrt.f64 t) x))))
(* (sqrt t) (/ x (* y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) x)
(/ x (* y z))
(/.f64 x (*.f64 y z))
(* 1/9 (/ x y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) y) z)
(sqrt t)
(sqrt.f64 t)
(- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)))
(* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
(fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))
(acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (*.f64 (sqrt.f64 t) x))
(* -1 (* (sqrt t) (pow (sqrt -1) 2)))
(sqrt.f64 t)
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(fma.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal -1/3 binary64) (*.f64 #s(literal 1/6 binary64) (PI.f64)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (asin.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal -1/3 binary64))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) x)
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(/.f64 (/.f64 (sqrt.f64 t) y) z)

rewrite258.0ms (1.5%)

Memory
33.5MiB live, 273.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
066358
0108335
1319284
22013284
08478284
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
30 → 1 960
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))
(sqrt.f64 t)
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
(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 (/.f64 (sqrt.f64 t) z) y) x)))))
(PI.f64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(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 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(sqrt.f64 (PI.f64))
(/.f64 x (*.f64 z y))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))
(/.f64 (/.f64 x y) z)
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))))))
(*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) (-.f64 (neg.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))))))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))))
(*.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (neg.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))))))))
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) (-.f64 (neg.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 0 binary64)) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))))) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))))) (fma.f64 (/.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))))) (/.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))))) (/.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (-.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (-.f64 (pow.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (PI.f64))) (acos.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (neg.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64) (+.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1/18 binary64))))))))
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(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 y z))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))))
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 z (/.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (*.f64 (/.f64 x y) (sqrt.f64 t))))))
(/.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) (*.f64 #s(literal 1 binary64) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 (neg.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 z) y) (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (/.f64 y x)) (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal 1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/9 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) (*.f64 (sqrt.f64 t) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (/.f64 y x)) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 18 binary64) (/.f64 z (*.f64 (/.f64 x y) (sqrt.f64 t)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))) (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 18 binary64) (/.f64 z (*.f64 (/.f64 x y) (sqrt.f64 t)))))
(/.f64 (sqrt.f64 t) (*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 5 binary64)) #s(literal 3/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal 3/2 binary64)) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (cbrt.f64 (PI.f64))) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (PI.f64) (pow.f64 (*.f64 (cbrt.f64 (PI.f64)) (PI.f64)) #s(literal 3/2 binary64)))
(*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (PI.f64)))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 6 binary64)) (pow.f64 (PI.f64) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 6 binary64))))
(exp.f64 (fma.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64) (*.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))

eval4.2s (24%)

Memory
-15.5MiB live, 372.4MiB allocated
Compiler

Compiled 54 129 to 6 995 computations (87.1% saved)

prune38.0ms (0.2%)

Memory
-9.0MiB live, 117.6MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1 51131 514
Fresh000
Picked325
Done011
Total1 51461 520
Accuracy
100.0%
Counts
1 520 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (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)))
✓97.7%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
✓98.0%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
✓97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
▶99.2%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
▶96.9%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (sqrt.f64 t) x) (*.f64 y z)))))))
Compiler

Compiled 140 to 127 computations (9.3% saved)

simplify118.0ms (0.7%)

Memory
16.5MiB live, 98.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff1
(*.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-diff2
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
cost-diff2
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (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-diff3
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
cost-diff0
(pow.f64 (PI.f64) #s(literal 3 binary64))
cost-diff0
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
cost-diff3
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))))
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 (sqrt.f64 t) x) (*.f64 y z))))))
cost-diff0
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (sqrt.f64 t) x) (*.f64 y z)))))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055353
088323
1160319
2334315
3708315
41766315
53307315
63506315
73627315
83769315
93892315
103951315
114281315
124328315
134328315
144641315
154643315
164643315
04643315
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (sqrt.f64 t) x) (*.f64 y z)))))))
(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 (sqrt.f64 t) x) (*.f64 y z))))))
(PI.f64)
#s(literal 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))))
#s(literal -1/3 binary64)
(asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z))
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
(*.f64 y z)
y
z
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(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 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
#s(literal -1/3 binary64)
(asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))
(*.f64 #s(literal 1/18 binary64) (*.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
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (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) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
#s(literal 1/2 binary64)
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(*.f64 (PI.f64) (PI.f64))
(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)))) (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 (sqrt.f64 t) x) (*.f64 y z)))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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))))
(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 (sqrt.f64 t) x) (*.f64 y z))))))
(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 (sqrt.f64 t) x) (*.f64 y z)))))
(*.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 (sqrt.f64 t) x) (*.f64 y z))))
(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 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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))))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(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)))
(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 1/6 binary64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))
(*.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 (/.f64 (sqrt.f64 t) z) y) x)))
(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 (/.f64 (sqrt.f64 t) z) y) x))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))
#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
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (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 (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)))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(PI.f64)
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (PI.f64) (PI.f64))
(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 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x) #s(literal 1/18 binary64))) #s(literal -1/3 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

localize147.0ms (0.8%)

Memory
7.2MiB live, 252.9MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))
accuracy1.0
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
accuracy3.884359243861762
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
accuracy5.658556121591204
(/.f64 (/.f64 x y) z)
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy1.0
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy2.560790036400187
(/.f64 (/.f64 (sqrt.f64 t) z) y)
accuracy4.695531255262398
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
accuracy0.2421875
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))))
accuracy0.265625
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
accuracy0.96484375
(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 (sqrt.f64 t) x) (*.f64 y z))))))
accuracy6.139171198850597
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z))
Samples
110.0ms256×0valid
Compiler

Compiled 325 to 57 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-mult: 34.0ms (42.5% of total)
ival-div: 13.0ms (16.3% of total)
const: 12.0ms (15% of total)
ival-asin: 5.0ms (6.3% of total)
ival-cbrt: 4.0ms (5% of total)
ival-add: 3.0ms (3.8% of total)
ival-acos: 2.0ms (2.5% of total)
ival-sqrt: 2.0ms (2.5% of total)
ival-pow: 2.0ms (2.5% of total)
ival-pi: 1.0ms (1.3% of total)
exact: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series25.0ms (0.1%)

Memory
-27.6MiB live, 56.8MiB allocated
Counts
18 → 13
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (sqrt.f64 t) x) (*.f64 y z)))))))
(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 (sqrt.f64 t) x) (*.f64 y z))))))
(PI.f64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (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 (PI.f64) (PI.f64)) (PI.f64))
(*.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 (sqrt.f64 t) x) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (/.f64 x y) z)
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
Outputs
(* 1/3 (acos (* 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))))))
(* (sqrt t) (/ x (* y z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/ x (* y z))
(* (sqrt t) (/ 1 (* y z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
Calls

12 calls:

TimeVariablePointExpression
3.0ms
z
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (/ (* (sqrt t) x) (* y z)))))) (PI) (* -1/3 (asin (* 1/18 (/ (* (sqrt t) x) (* y z))))) (cbrt (pow (PI) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (cbrt (pow (PI) 3)) 1/6) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (pow (PI) 3) (cbrt (* (* (PI) (PI)) (PI))) (+ (* (* 1/2 (cbrt (* (* (PI) (PI)) (PI)))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (* (PI) (PI)) (PI)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (/ (* (sqrt t) x) (* y z)) (* 1/18 (/ (* (sqrt t) x) (* y z))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))))
2.0ms
t
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (/ (* (sqrt t) x) (* y z)))))) (PI) (* -1/3 (asin (* 1/18 (/ (* (sqrt t) x) (* y z))))) (cbrt (pow (PI) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (cbrt (pow (PI) 3)) 1/6) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (pow (PI) 3) (cbrt (* (* (PI) (PI)) (PI))) (+ (* (* 1/2 (cbrt (* (* (PI) (PI)) (PI)))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (* (PI) (PI)) (PI)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (/ (* (sqrt t) x) (* y z)) (* 1/18 (/ (* (sqrt t) x) (* y z))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))))
2.0ms
y
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (/ (* (sqrt t) x) (* y z)))))) (PI) (* -1/3 (asin (* 1/18 (/ (* (sqrt t) x) (* y z))))) (cbrt (pow (PI) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (cbrt (pow (PI) 3)) 1/6) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (pow (PI) 3) (cbrt (* (* (PI) (PI)) (PI))) (+ (* (* 1/2 (cbrt (* (* (PI) (PI)) (PI)))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (* (PI) (PI)) (PI)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (/ (* (sqrt t) x) (* y z)) (* 1/18 (/ (* (sqrt t) x) (* y z))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))))
2.0ms
t
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (/ (* (sqrt t) x) (* y z)))))) (PI) (* -1/3 (asin (* 1/18 (/ (* (sqrt t) x) (* y z))))) (cbrt (pow (PI) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (cbrt (pow (PI) 3)) 1/6) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (pow (PI) 3) (cbrt (* (* (PI) (PI)) (PI))) (+ (* (* 1/2 (cbrt (* (* (PI) (PI)) (PI)))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (* (PI) (PI)) (PI)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (/ (* (sqrt t) x) (* y z)) (* 1/18 (/ (* (sqrt t) x) (* y z))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))))
2.0ms
x
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (PI) 1/6) (* -1/3 (asin (* 1/18 (/ (* (sqrt t) x) (* y z)))))) (PI) (* -1/3 (asin (* 1/18 (/ (* (sqrt t) x) (* y z))))) (cbrt (pow (PI) 3)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (+ (* (cbrt (pow (PI) 3)) 1/6) (* -1/3 (asin (* 1/18 (* (/ (/ (sqrt t) z) y) x))))) (pow (PI) 3) (cbrt (* (* (PI) (PI)) (PI))) (+ (* (* 1/2 (cbrt (* (* (PI) (PI)) (PI)))) 1/3) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3)) (* (* (PI) (PI)) (PI)) (* (neg (asin (* (sqrt t) (* 1/18 (/ (/ x y) z))))) 1/3) (/ (* (sqrt t) x) (* y z)) (* 1/18 (/ (* (sqrt t) x) (* y z))) (* (/ (/ (sqrt t) z) y) x) (/ (/ (sqrt t) z) y) (/ (/ x y) z) (* (sqrt t) (* 1/18 (/ (/ x y) z))))

simplify101.0ms (0.6%)

Memory
-4.3MiB live, 110.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042158
192142
2295139
31258139
43320139
55096139
67304139
77800139
08041137
Stop Event
1×iter limit
1×node limit
Counts
13 → 13
Calls
Call 1
Inputs
(* 1/3 (acos (* 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))))))
(* (sqrt t) (/ x (* y z)))
(* 1/18 (* (sqrt t) (/ x (* y z))))
(/ x (* y z))
(* (sqrt t) (/ 1 (* y z)))
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))) (* 1/6 (PI)))
(* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* 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 (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))))))
(*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)) #s(literal -1/3 binary64))
(* (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)
(/ x (* y z))
(/.f64 x (*.f64 z y))
(* (sqrt t) (/ 1 (* y z)))
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)) #s(literal 1/3 binary64))
(+ (* -1/3 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* 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 (pow (sqrt -1) 2)) (* y z))))))
(*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal -1/18 binary64)) y) x)) #s(literal -1/3 binary64))
(* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) y))
(* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))
(*.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) y) x)
(* -1 (* (sqrt t) (/ (pow (sqrt -1) 2) (* y z))))
(/.f64 (/.f64 (sqrt.f64 t) z) y)

rewrite165.0ms (0.9%)

Memory
31.3MiB live, 231.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055223
088198
1277179
21815175
08371175
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 220
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (sqrt.f64 t) x) (*.f64 y z)))))))
(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 (sqrt.f64 t) x) (*.f64 y z))))))
(PI.f64)
(*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
(fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (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 (PI.f64) (PI.f64)) (PI.f64))
(*.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 (sqrt.f64 t) x) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x)
(/.f64 (/.f64 (sqrt.f64 t) z) y)
(/.f64 (/.f64 x y) z)
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 1/3 binary64)))
(*.f64 (/.f64 (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))))))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (PI.f64) (PI.f64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64))))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/9 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))))))))
(*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/9 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/6 binary64) (PI.f64)))))))
(*.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64))))) #s(literal -1 binary64)))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))))
(*.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 1/3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 1/3 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))))))) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))) (*.f64 (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (PI.f64) (PI.f64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (PI.f64) (PI.f64))))) (neg.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)) #s(literal -1/27 binary64) (*.f64 #s(literal 1/216 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal -1/9 binary64) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/46656 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) #s(literal -1/3 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/46656 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 (PI.f64) #s(literal 3 binary64)) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) #s(literal 9 binary64)) (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/46656 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (PI.f64)) #s(literal -1/3 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))) (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))) (*.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))))) (*.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))))))
(/.f64 (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64)) #s(literal 1/9 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y))) #s(literal -1/3 binary64) (*.f64 #s(literal -1/6 binary64) (PI.f64))))
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(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) #s(literal 1/18 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (/.f64 (/.f64 x y) z) #s(literal 1/54 binary64)) (sqrt.f64 t)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) z) (/.f64 (sqrt.f64 t) y)))
(pow.f64 (*.f64 (/.f64 z (*.f64 #s(literal 1/18 binary64) x)) (/.f64 y (sqrt.f64 t))) #s(literal -1 binary64))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal 1/2 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) z)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (sqrt.f64 t))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t))) (*.f64 #s(literal 2 binary64) z))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal 2 binary64) z))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))))) (*.f64 #s(literal 2 binary64) z))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) z)) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) y)) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 1/18 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 t)) #s(literal 1/18 binary64))) (*.f64 z y))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) #s(literal 1/18 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) y)))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (neg.f64 x) (sqrt.f64 t)))) (*.f64 z y))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 (neg.f64 x) y))) z)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal 1/18 binary64)))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) x))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x))) (*.f64 z y))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (neg.f64 (*.f64 (/.f64 y x) z)))
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 z (sqrt.f64 t)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (neg.f64 (sqrt.f64 t))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) (pow.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (sqrt.f64 t)) (*.f64 y (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) y) (sqrt.f64 t)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) (sqrt.f64 t)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal 27 binary64) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (sqrt.f64 t)) (*.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 #s(literal -1/18 binary64) (neg.f64 (*.f64 (/.f64 z x) (/.f64 y (sqrt.f64 t)))))
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) z) y)
(/.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) y) z)
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal 1/2 binary64)) z)
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) z) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 1/18 binary64)) z)
(/.f64 (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 t)) #s(literal 1/18 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t)) z)
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 (*.f64 z (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) #s(literal 1/18 binary64)) y)
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) y))) z)
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (neg.f64 x) (sqrt.f64 t))) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 (neg.f64 x) y)) (neg.f64 z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) z)
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/9 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) x)) y)
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 t)) (*.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 z x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y)) z)
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (*.f64 (*.f64 (/.f64 y x) z) #s(literal 54 binary64)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 (/.f64 z (sqrt.f64 t)) y))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 y (*.f64 (sqrt.f64 t) x)))
(/.f64 (/.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) #s(literal -2 binary64)) (/.f64 z (sqrt.f64 t)))
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x)) (*.f64 (neg.f64 y) z))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) z))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) (*.f64 z y))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (*.f64 (/.f64 y x) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 z (*.f64 #s(literal 1/18 binary64) x)) (/.f64 y (sqrt.f64 t)))))
(/.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 (*.f64 #s(literal 18 binary64) (*.f64 (/.f64 y x) z))))
(/.f64 (sqrt.f64 t) (*.f64 (*.f64 z (*.f64 #s(literal 9 binary64) (/.f64 y x))) #s(literal 2 binary64)))
(/.f64 (sqrt.f64 t) (*.f64 (*.f64 #s(literal 9 binary64) (/.f64 y x)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (sqrt.f64 t) (*.f64 #s(literal 18 binary64) (*.f64 (/.f64 y x) z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 z x) (/.f64 y (sqrt.f64 t))))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) (/.f64 z (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/9 binary64) (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 18 binary64) (*.f64 (/.f64 y x) z)) (sqrt.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) y)) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 (*.f64 (neg.f64 x) (sqrt.f64 t)) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) x) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) (*.f64 #s(literal 1/18 binary64) (*.f64 (neg.f64 x) (sqrt.f64 t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 (neg.f64 x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal 1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 y x) z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z x) (/.f64 y (sqrt.f64 t))) #s(literal 1/18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z (*.f64 #s(literal 1/18 binary64) x)) (/.f64 y (sqrt.f64 t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 #s(literal 1/18 binary64) x)) (/.f64 y (sqrt.f64 t))))

eval165.0ms (0.9%)

Memory
-12.8MiB live, 224.0MiB allocated
Compiler

Compiled 32 044 to 4 493 computations (86% saved)

prune19.0ms (0.1%)

Memory
16.1MiB live, 53.5MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New8022804
Fresh000
Picked213
Done033
Total8046810
Accuracy
100.0%
Counts
810 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
✓97.7%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
✓98.0%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
✓97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
99.2%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
✓96.9%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (sqrt.f64 t) x) (*.f64 y z)))))))
Compiler

Compiled 539 to 235 computations (56.4% saved)

regimes89.0ms (0.5%)

Memory
-15.5MiB live, 70.7MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) 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)))) (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 (sqrt.f64 t) x) (*.f64 y z)))))))
(*.f64 (acos.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) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(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))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (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)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))))
(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)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) x))))) #s(literal 1/3 binary64)))
Outputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
Calls

13 calls:

24.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
18.0ms
(sqrt.f64 t)
4.0ms
(*.f64 z #s(literal 2 binary64))
4.0ms
(*.f64 y #s(literal 27 binary64))
4.0ms
z
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1z
99.4%1t
99.4%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))))
99.4%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)))
99.4%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))
99.4%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.4%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.4%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.4%1(*.f64 y #s(literal 27 binary64))
99.4%1(*.f64 z #s(literal 2 binary64))
99.4%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes105.0ms (0.6%)

Memory
12.5MiB live, 51.5MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) 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)))) (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 (sqrt.f64 t) x) (*.f64 y z)))))))
(*.f64 (acos.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) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(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))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
Calls

13 calls:

67.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
y
3.0ms
z
3.0ms
(sqrt.f64 t)
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1t
99.2%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
99.2%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
99.2%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
99.2%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.2%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.2%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.2%1(*.f64 y #s(literal 27 binary64))
99.2%1(*.f64 z #s(literal 2 binary64))
99.2%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes71.0ms (0.4%)

Memory
-31.6MiB live, 46.9MiB allocated
Accuracy

Total -1.6b remaining (-125.9%)

Threshold costs -1.6b (-125.9%)

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

13 calls:

26.0ms
x
13.0ms
(sqrt.f64 t)
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
z
Results
AccuracySegmentsBranch
98.0%1x
98.0%1y
98.0%1z
98.0%1t
98.0%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))))
98.0%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)))
98.0%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))
98.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.0%1(*.f64 y #s(literal 27 binary64))
98.0%1(*.f64 z #s(literal 2 binary64))
98.0%1(sqrt.f64 t)
Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify96.0ms (0.5%)

Memory
6.0MiB live, 43.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04776
17376
215676
343776
4145676
5311276
6321876
7332476
8379876
9586876
Stop Event
1×node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
Outputs
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/3 binary64) (*.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64)))) #s(literal 1/3 binary64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) (neg.f64 #s(literal 1/3 binary64))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (fma.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (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 (/.f64 (sqrt.f64 t) z) y) x))))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))

soundness1.2s (6.8%)

Memory
11.5MiB live, 173.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049233
075219
1196210
21143204
08646204
055223
088198
1277179
21815175
08371175
066358
0108335
1319284
22013284
08478284
03168
16665
219763
373063
4261463
5449363
6628463
0804863
01855
02955
16947
238741
3376241
0836841
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node 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
Compiler

Compiled 395 to 258 computations (34.7% saved)

preprocess1.3s (7.6%)

Memory
-4.2MiB live, 34.8MiB allocated
Remove

(sort y z)

Compiler

Compiled 324 to 246 computations (24.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...