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

Time bar (total: 9.0s)

start0.0ms (0%)

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

analyze452.0ms (5%)

Memory
12.1MiB live, 715.1MiB allocated; 139ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample5.7s (63.6%)

Memory
82.6MiB live, 7 192.4MiB allocated; 1.5s collecting garbage
Samples
2.3s15 077×0invalid
1.7s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-mult: 1.3s (47.9% of total)
ival-div: 775.0ms (28.3% of total)
ival-sqrt: 392.0ms (14.3% of total)
ival-acos: 189.0ms (6.9% of total)
exact: 38.0ms (1.4% of total)
ival-true: 16.0ms (0.6% of total)
ival-assert: 8.0ms (0.3% of total)
adjust: 6.0ms (0.2% of total)
Bogosity

explain420.0ms (4.6%)

Memory
22.9MiB live, 452.8MiB allocated; 85ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
230-3(9.751846871896329e-85 -5.252966272746544e+235 -2.7470774971165724e-207 1.439571746930523e+66)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
140-0-(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
20-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n190
(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow57
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow57
*.f64(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))n*u140
/.f64(/.f64 x (*.f64 y #s(literal 27 binary64)))n/o20
(*.f64 y #s(literal 27 binary64))overflow3
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))o/n10
(*.f64 y #s(literal 27 binary64))overflow3
(/.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
-35220
Precision
0.027777777777777776
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-350220
Precision?
0.027777777777777776
Recall?
1.0
Freqs
test
numberfreq
0220
136
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
246.0ms512×0valid
Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 222.0ms
ival-acos: 156.0ms (70.3% of total)
ival-div: 46.0ms (20.7% of total)
ival-mult: 14.0ms (6.3% of total)
ival-sqrt: 4.0ms (1.8% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess244.0ms (2.7%)

Memory
-0.7MiB live, 229.5MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089246
1279212
21015184
33935184
46986184
01817
02917
15015
213713
349413
4214213
5517613
0821413
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))
Symmetry

(sort y z)

Compiler

Compiled 19 to 18 computations (5.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify172.0ms (1.9%)

Memory
10.0MiB live, 197.1MiB allocated; 35ms collecting garbage
Localize:

Found 4 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01886
02986
15076
213768
349468
4214268
5517668
0821468
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(/.f64 (/.f64 x #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

localize81.0ms (0.9%)

Memory
-39.3MiB live, 134.9MiB allocated; 54ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.4225330375875232
(/.f64 x (*.f64 y #s(literal 27 binary64)))
accuracy0.9765625
(*.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))))
accuracy3.214863048578086
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
accuracy4.701377500091685
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
Samples
31.0ms256×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 8.0ms (44.4% of total)
ival-div: 6.0ms (33.3% of total)
ival-sqrt: 2.0ms (11.1% of total)
ival-acos: 2.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series44.0ms (0.5%)

Memory
21.8MiB live, 114.9MiB allocated; 10ms collecting garbage
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
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
Calls

12 calls:

TimeVariablePointExpression
15.0ms
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)))
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)))
4.0ms
x
@inf
((/ 1 3) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ 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)))

simplify115.0ms (1.3%)

Memory
-1.3MiB live, 139.6MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050160
1111145
2345133
31303133
03811133
Stop Event
iter limit
iter limit
node limit
Counts
7 → 7
Calls
Call 1
Inputs
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
Outputs
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x))
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (* 3 (/ x (* y 27))) (*.f64 (/.f64 #s(literal 1/9 binary64) y) x))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)))
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (/ x (* y 27)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)))

rewrite49.0ms (0.5%)

Memory
-9.5MiB live, 78.4MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01855
02955
16347
025647
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
6 → 58
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 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))
(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) #s(literal 3 binary64))
(*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64))) z)
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) z)
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (neg.f64 (*.f64 #s(literal -2 binary64) z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z))
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) z)))
(neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x #s(literal 27 binary64)))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 27 binary64))
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x y)) #s(literal 27 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) y))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)) (sqrt.f64 t))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) (sqrt.f64 t)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal 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 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (sqrt.f64 t)) (*.f64 #s(literal -2 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) (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal -2 binary64) 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 x #s(literal 27 binary64)) y)
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -27 binary64))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal -27 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 (neg.f64 x) (*.f64 #s(literal -27 binary64) y))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 #s(literal 27 binary64) y)))
(neg.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y)))

eval8.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 221 to 354 computations (71% saved)

prune3.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New61364
Fresh000
Picked101
Done000
Total62365
Accuracy
98.5%
Counts
65 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
96.2%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)))
96.9%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)))
Compiler

Compiled 81 to 71 computations (12.3% saved)

simplify259.0ms (2.9%)

Memory
-44.9MiB live, 245.8MiB allocated; 46ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))))
cost-diff0
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
cost-diff2
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))
cost-diff0
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)
cost-diff0
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))
cost-diff0
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #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) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)))
cost-diff0
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))
cost-diff0
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)))
cost-diff0
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #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 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044249
064243
1116239
2287233
3872233
42462233
56210233
08777233
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y)
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
y
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
#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) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(/.f64 (sqrt.f64 t) y)
(sqrt.f64 t)
t
y
x
#s(literal -1/18 binary64)
z
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))
(sqrt.f64 t)
t
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)
(/.f64 x (*.f64 #s(literal 27 binary64) y))
x
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
z
#s(literal 3/2 binary64)
#s(literal 1/3 binary64)
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y)
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
y
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
#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) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))
(acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64))
(*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(/.f64 (sqrt.f64 t) y)
(sqrt.f64 t)
t
y
x
#s(literal -1/18 binary64)
z
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))))
(acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z)))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) #s(literal 1/18 binary64)) (/.f64 x z))
(sqrt.f64 t)
t
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x)
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)
(/.f64 (/.f64 x z) (*.f64 #s(literal 27 binary64) y))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 x #s(literal 27 binary64)) y)
x
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
z
#s(literal 3/2 binary64)
#s(literal 1/3 binary64)

localize130.0ms (1.4%)

Memory
30.2MiB live, 322.3MiB allocated; 29ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.4225330375875232
(/.f64 x (*.f64 #s(literal 27 binary64) y))
accuracy0.9765625
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
accuracy3.214863048578086
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))
accuracy4.723709630492114
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)
accuracy0.7270351720227538
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)))
accuracy0.9765625
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))
accuracy3.2434467652540726
(*.f64 (/.f64 (sqrt.f64 t) y) x)
accuracy4.731280813912406
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)
accuracy0.203125
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y)
accuracy0.3671875
(/.f64 #s(literal 1/18 binary64) z)
accuracy0.9765625
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))
accuracy6.097230626903171
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))
Samples
105.0ms256×0valid
Compiler

Compiled 227 to 43 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 35.0ms (44.1% of total)
ival-div: 19.0ms (24% of total)
const: 15.0ms (18.9% of total)
ival-acos: 8.0ms (10.1% of total)
ival-sqrt: 2.0ms (2.5% of total)
exact: 1.0ms (1.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series46.0ms (0.5%)

Memory
9.6MiB live, 102.7MiB allocated; 15ms collecting garbage
Counts
17 → 27
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1/18 binary64) z)
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y)
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)
(/.f64 x (*.f64 #s(literal 27 binary64) y))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* (sqrt t) (/ x y))))
#s(approx (/ (/ x (* 27 y)) z) #s(hole binary64 (* 1/27 (/ x (* y z)))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (/ (/ 1/18 z) y) #s(hole binary64 (/ 1/18 (* y z))))
#s(approx (/ 1/18 z) #s(hole binary64 (/ 1/18 z)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))))
Calls

12 calls:

TimeVariablePointExpression
9.0ms
y
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (/ x (* 27 y)) z) 3/2) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (/ 1/18 z) (/ (/ 1/18 z) y) (* (/ (sqrt t) y) x) (/ (/ x (* 27 y)) z) (/ x (* 27 y)))
8.0ms
x
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (/ x (* 27 y)) z) 3/2) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (/ 1/18 z) (/ (/ 1/18 z) y) (* (/ (sqrt t) y) x) (/ (/ x (* 27 y)) z) (/ x (* 27 y)))
3.0ms
x
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (/ x (* 27 y)) z) 3/2) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (/ 1/18 z) (/ (/ 1/18 z) y) (* (/ (sqrt t) y) x) (/ (/ x (* 27 y)) z) (/ x (* 27 y)))
3.0ms
x
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (/ x (* 27 y)) z) 3/2) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (/ 1/18 z) (/ (/ 1/18 z) y) (* (/ (sqrt t) y) x) (/ (/ x (* 27 y)) z) (/ x (* 27 y)))
3.0ms
t
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (/ (* (* (/ (sqrt t) y) x) -1/18) z) (* (/ (/ x (* 27 y)) z) 3/2) (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) (/ 1/18 z) (/ (/ 1/18 z) y) (* (/ (sqrt t) y) x) (/ (/ x (* 27 y)) z) (/ x (* 27 y)))

simplify165.0ms (1.8%)

Memory
-15.6MiB live, 125.0MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
099626
1214586
2603565
31869565
04446565
Stop Event
iter limit
iter limit
node limit
Counts
27 → 27
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* (sqrt t) (/ x y))))
#s(approx (/ (/ x (* 27 y)) z) #s(hole binary64 (* 1/27 (/ x (* y z)))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (/ (/ 1/18 z) y) #s(hole binary64 (/ 1/18 (* y z))))
#s(approx (/ 1/18 z) #s(hole binary64 (/ 1/18 z)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) #s(literal 1/3 binary64)))
#s(approx (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))))
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x)))
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64)))
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (/ (/ x (* 27 y)) z) 3/2) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x)))
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* (sqrt t) (/ x y))))
#s(approx (* (/ (sqrt t) y) x) (*.f64 (/.f64 (sqrt.f64 t) y) x))
#s(approx (/ (/ x (* 27 y)) z) #s(hole binary64 (* 1/27 (/ x (* y z)))))
#s(approx (/ (/ x (* 27 y)) z) (*.f64 #s(literal 1/27 binary64) (/.f64 x (*.f64 z y))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (/ x (* 27 y)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx (/ (/ 1/18 z) y) #s(hole binary64 (/ 1/18 (* y z))))
#s(approx (/ (/ 1/18 z) y) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))
#s(approx (/ 1/18 z) #s(hole binary64 (/ 1/18 z)))
#s(approx (/ 1/18 z) (/.f64 #s(literal 1/18 binary64) z))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64)))
#s(approx (* (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x)))
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) 1/3) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))) #s(literal 1/3 binary64)))
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (acos (/ (* (* (/ (sqrt t) y) x) -1/18) z)) (acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x))))
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (/ (* (* (/ (sqrt t) y) x) -1/18) z) (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) 1/3) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (acos (* (/ (/ 1/18 z) y) (* (sqrt t) x))) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))
#s(approx (* (sqrt t) (* (/ (/ x (* 27 y)) z) 3/2)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (/ (/ 1/18 z) y) (* (sqrt t) x)) (*.f64 (/.f64 (/.f64 (sqrt.f64 t) z) y) (*.f64 #s(literal 1/18 binary64) x)))
#s(approx (* (/ (sqrt t) y) x) #s(hole binary64 (* -1 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) y)))))
#s(approx (* (/ (sqrt t) y) x) (*.f64 (/.f64 (sqrt.f64 t) y) x))

rewrite89.0ms (1%)

Memory
-9.8MiB live, 83.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044205
064205
1150201
0554201
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
17 → 131
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z))
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal -1/18 binary64)) z)
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1/18 binary64) z)
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y)
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)
(/.f64 x (*.f64 #s(literal 27 binary64) y))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) x) (sqrt.f64 t))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) x)
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (/.f64 (sqrt.f64 t) y) x))
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
(/.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) z) (*.f64 (sqrt.f64 t) x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal -1/18 binary64) z)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)))
(acos.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z))
(*.f64 (/.f64 #s(literal -1/18 binary64) z) (*.f64 (/.f64 (sqrt.f64 t) y) x))
(*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) z))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) (/.f64 #s(literal -1/18 binary64) z))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 (*.f64 #s(literal -1/18 binary64) x) z))
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 x (/.f64 #s(literal -1/18 binary64) z)))
(*.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal -1/18 binary64) z)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal -1/18 binary64) z)) y)
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) z)
(neg.f64 (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) x) #s(literal 1/18 binary64)) z))
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) x)) (neg.f64 z)))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) #s(literal 3 binary64))
(*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) z)))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3/2 binary64) z))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64))) z)
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y)) #s(literal 3/2 binary64)) (neg.f64 z))
(/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal -27 binary64) y))) (neg.f64 z))
(/.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) z)
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (neg.f64 (*.f64 #s(literal -2 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))) (neg.f64 z))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) z)
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal 2 binary64) z))
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) z)))
(neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3/2 binary64)) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) (sqrt.f64 t)) #s(literal 3/2 binary64))
(*.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)) (sqrt.f64 t))
(*.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) (*.f64 #s(literal 3/2 binary64) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (*.f64 #s(literal 2 binary64) z)))
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) (sqrt.f64 t)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal 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 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y))) (sqrt.f64 t)) z)
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 3/2 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))) 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) (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal -2 binary64) 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 #s(literal -1/18 binary64) (neg.f64 z))
(/.f64 #s(literal 1/18 binary64) (neg.f64 (neg.f64 z)))
(/.f64 #s(literal 1/18 binary64) z)
(neg.f64 (/.f64 #s(literal -1/18 binary64) z))
(/.f64 (/.f64 #s(literal -1/18 binary64) z) (neg.f64 y))
(/.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 z) y))
(/.f64 #s(literal -1/18 binary64) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y)
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(neg.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) z) y))
(neg.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) (neg.f64 y)))
(*.f64 (/.f64 (sqrt.f64 t) y) x)
(*.f64 (sqrt.f64 t) (/.f64 x y))
(*.f64 x (/.f64 (sqrt.f64 t) y))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 t)) x) (neg.f64 y))
(/.f64 (*.f64 x (neg.f64 (sqrt.f64 t))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (neg.f64 y))
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(/.f64 (/.f64 x #s(literal 27 binary64)) (*.f64 z y))
(/.f64 (/.f64 x y) (*.f64 #s(literal 27 binary64) z))
(/.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y)) (neg.f64 z))
(/.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal -27 binary64) y) z))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (*.f64 #s(literal 27 binary64) y) z)))
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z)
(/.f64 x (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(neg.f64 (/.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y)) z))
(neg.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (neg.f64 z)))
(/.f64 (neg.f64 (/.f64 x #s(literal 27 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -27 binary64))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal -27 binary64) y)))
(/.f64 (/.f64 x #s(literal 27 binary64)) y)
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 (neg.f64 x) (*.f64 #s(literal -27 binary64) y))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(neg.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y)))

eval38.0ms (0.4%)

Memory
-9.5MiB live, 36.4MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 988 to 733 computations (81.6% saved)

prune6.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1443147
Fresh000
Picked303
Done000
Total1473150
Accuracy
98.5%
Counts
150 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64))
98.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64)))
96.9%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)))
Compiler

Compiled 81 to 71 computations (12.3% saved)

simplify156.0ms (1.7%)

Memory
21.4MiB live, 119.0MiB allocated; 8ms collecting garbage
Localize:

Found 12 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
043244
063238
1122232
2330228
31040228
42723228
55983228
08375228
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
#s(literal 1/18 binary64)
(*.f64 z y)
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 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) x)
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
x
(sqrt.f64 t)
t
y
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))
(sqrt.f64 t)
t
(/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(*.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(*.f64 (*.f64 #s(literal 27 binary64) y) z)
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
z
#s(literal 1/3 binary64)
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.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 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
#s(literal 1/18 binary64)
(*.f64 z y)
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 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) 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 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z)
(*.f64 (/.f64 #s(literal 1/18 binary64) z) x)
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
x
(sqrt.f64 t)
t
y
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)
(sqrt.f64 t)
t
(/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y)
(*.f64 x #s(literal 3/2 binary64))
(*.f64 #s(literal 3/2 binary64) x)
x
#s(literal 3/2 binary64)
(*.f64 (*.f64 #s(literal 27 binary64) y) z)
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
y
z
#s(literal 1/3 binary64)

localize118.0ms (1.3%)

Memory
-14.4MiB live, 177.9MiB allocated; 30ms collecting garbage
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.24609375
(*.f64 (*.f64 #s(literal 27 binary64) y) z)
accuracy0.9765625
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64))
accuracy3.214863048578086
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))
accuracy4.469041583823533
(/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
accuracy0.3671875
(/.f64 #s(literal 1/18 binary64) z)
accuracy0.9765625
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))
accuracy2.261763001562922
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t))
accuracy6.7001633129010285
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)
accuracy0.19140625
(*.f64 (sqrt.f64 t) x)
accuracy0.5092373171843245
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))
accuracy0.9765625
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))
accuracy6.454912672743573
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))
Samples
93.0ms256×0valid
Compiler

Compiled 222 to 42 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 23.0ms (37.5% of total)
ival-acos: 19.0ms (31% of total)
ival-div: 11.0ms (17.9% of total)
const: 6.0ms (9.8% of total)
ival-sqrt: 2.0ms (3.3% of total)
exact: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series38.0ms (0.4%)

Memory
27.1MiB live, 72.7MiB allocated; 6ms collecting garbage
Counts
17 → 29
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)
(/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))
(*.f64 (sqrt.f64 t) x)
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t))
(/.f64 #s(literal 1/18 binary64) z)
(*.f64 (*.f64 #s(literal 27 binary64) y) z)
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (/ (* (* (/ 1/18 z) x) (sqrt t)) y) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* x 3/2) (* (* 27 y) z)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* (sqrt t) x))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* (sqrt t) x)))
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x z)))))
#s(approx (* (* 27 y) z) #s(hole binary64 (* 27 (* y z))))
#s(approx (/ 1/18 z) #s(hole binary64 (/ 1/18 z)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (/ (* (* (/ 1/18 z) x) (sqrt t)) y) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))))
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))))
Calls

12 calls:

TimeVariablePointExpression
9.0ms
t
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) (/ (* (* (/ 1/18 z) x) (sqrt t)) y) (/ (* x 3/2) (* (* 27 y) z)) (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (* (/ 1/18 z) x) (sqrt t)) (/ 1/18 z) (* (* 27 y) z))
5.0ms
y
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) (/ (* (* (/ 1/18 z) x) (sqrt t)) y) (/ (* x 3/2) (* (* 27 y) z)) (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (* (/ 1/18 z) x) (sqrt t)) (/ 1/18 z) (* (* 27 y) z))
3.0ms
x
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) (/ (* (* (/ 1/18 z) x) (sqrt t)) y) (/ (* x 3/2) (* (* 27 y) z)) (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (* (/ 1/18 z) x) (sqrt t)) (/ 1/18 z) (* (* 27 y) z))
3.0ms
x
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) (/ (* (* (/ 1/18 z) x) (sqrt t)) y) (/ (* x 3/2) (* (* 27 y) z)) (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (* (/ 1/18 z) x) (sqrt t)) (/ 1/18 z) (* (* 27 y) z))
3.0ms
x
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (/ (* (* (sqrt t) x) 1/18) (* z y)) (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) (/ (* (* (/ 1/18 z) x) (sqrt t)) y) (/ (* x 3/2) (* (* 27 y) z)) (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) (* (* (sqrt t) x) 1/18) (* (sqrt t) x) (* (* (/ 1/18 z) x) (sqrt t)) (/ 1/18 z) (* (* 27 y) z))

simplify70.0ms (0.8%)

Memory
-35.7MiB live, 104.6MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
098660
1213614
2616591
02134591
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
29 → 29
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (/ (* (* (/ 1/18 z) x) (sqrt t)) y) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* x 3/2) (* (* 27 y) z)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* (sqrt t) x))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* (sqrt t) x)))
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x z)))))
#s(approx (* (* 27 y) z) #s(hole binary64 (* 27 (* y z))))
#s(approx (/ 1/18 z) #s(hole binary64 (/ 1/18 z)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (/ (* (* (/ 1/18 z) x) (sqrt t)) y) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))))
#s(approx (* (sqrt t) x) #s(hole binary64 (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))))
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 1/3 binary64)))
#s(approx (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 1/3 binary64)))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 1/3 binary64)))
#s(approx (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))))
#s(approx (/ (* (* (/ 1/18 z) x) (sqrt t)) y) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))
#s(approx (/ (* x 3/2) (* (* 27 y) z)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ (* x 3/2) (* (* 27 y) z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (acos.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y))))
#s(approx (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* 1/18 (* (sqrt t) x))))
#s(approx (* (* (sqrt t) x) 1/18) (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)))
#s(approx (* (sqrt t) x) #s(hole binary64 (* (sqrt t) x)))
#s(approx (* (sqrt t) x) (*.f64 (sqrt.f64 t) x))
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x z)))))
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) #s(literal 1/18 binary64)))
#s(approx (* (* 27 y) z) #s(hole binary64 (* 27 (* y z))))
#s(approx (* (* 27 y) z) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
#s(approx (/ 1/18 z) #s(hole binary64 (/ 1/18 z)))
#s(approx (/ 1/18 z) (/.f64 #s(literal 1/18 binary64) z))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))
#s(approx (* (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))
#s(approx (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))))
#s(approx (/ (* (* (/ 1/18 z) x) (sqrt t)) y) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))
#s(approx (* (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (/ (* (* (/ 1/18 z) x) (sqrt t)) y)) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (acos (/ (* (* (sqrt t) x) 1/18) (* z y))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))))
#s(approx (* (sqrt t) (/ (* x 3/2) (* (* 27 y) z))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (/ (* (* (sqrt t) x) 1/18) (* z y)) (*.f64 (*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64)) (/.f64 x y)))
#s(approx (* (* (sqrt t) x) 1/18) #s(hole binary64 (* -1/18 (* (sqrt t) (* x (pow (sqrt -1) 2))))))
#s(approx (* (* (sqrt t) x) 1/18) (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)))
#s(approx (* (sqrt t) x) #s(hole binary64 (* -1 (* (sqrt t) (* x (pow (sqrt -1) 2))))))
#s(approx (* (sqrt t) x) (*.f64 (sqrt.f64 t) x))
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) z)))))
#s(approx (* (* (/ 1/18 z) x) (sqrt t)) (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) #s(literal 1/18 binary64)))

rewrite51.0ms (0.6%)

Memory
33.5MiB live, 79.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043205
063199
1155193
0598193
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
17 → 211
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)
(/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64))
(*.f64 (sqrt.f64 t) x)
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t))
(/.f64 #s(literal 1/18 binary64) z)
(*.f64 (*.f64 #s(literal 27 binary64) 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) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (fma.f64 (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y)))
(acos.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z) y))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x #s(literal 27 binary64)) y)) (/.f64 #s(literal 3/2 binary64) z))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 #s(literal 27 binary64) y)) (/.f64 (*.f64 #s(literal 3/2 binary64) x) z))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y))
(*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 (/.f64 x y) #s(literal 1/18 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 27 binary64)) (/.f64 (*.f64 #s(literal 3/2 binary64) x) (*.f64 z y)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (*.f64 (sqrt.f64 t) x))
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x) (sqrt.f64 t))
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (/.f64 (sqrt.f64 t) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) x))
(*.f64 (/.f64 (/.f64 x #s(literal 27 binary64)) y) (*.f64 (/.f64 #s(literal 3/2 binary64) z) (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
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(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) z))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) z) x))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)))
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) z)
(/.f64 #s(literal -1/18 binary64) (neg.f64 z))
(/.f64 #s(literal 1/18 binary64) (neg.f64 (neg.f64 z)))
(/.f64 #s(literal 1/18 binary64) z)
(neg.f64 (/.f64 #s(literal -1/18 binary64) z))
(neg.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(*.f64 (*.f64 z #s(literal 27 binary64)) y)
(*.f64 (*.f64 #s(literal 27 binary64) z) y)
(*.f64 (*.f64 #s(literal 27 binary64) y) z)
(*.f64 (*.f64 z y) #s(literal 27 binary64))
(*.f64 z (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) (*.f64 z y))
(*.f64 y (*.f64 #s(literal 27 binary64) z))

eval16.0ms (0.2%)

Memory
-7.9MiB live, 38.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 3 485 to 625 computations (82.1% saved)

prune14.0ms (0.2%)

Memory
-21.7MiB live, 32.8MiB allocated; 2ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1161117
Fresh000
Picked213
Done000
Total1182120
Accuracy
98.5%
Counts
120 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
98.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64)))
Compiler

Compiled 46 to 41 computations (10.9% saved)

simplify8.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01357
02057
13057
26157
313857
422657
526057
026057
Stop Event
iter limit
saturated
iter limit
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))
(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)
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 1/18 binary64)) x)))
(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) y) z) #s(literal 1/18 binary64)) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 1/18 binary64)) x)
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 z y))
(/.f64 x (*.f64 y z))
x
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 1/3 binary64)

localize42.0ms (0.5%)

Memory
-24.6MiB live, 68.7MiB allocated; 7ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.228847509768442
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
accuracy0.9765625
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
accuracy3.214863048578086
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))
accuracy4.267909215764552
(/.f64 x (*.f64 z y))
Samples
28.0ms256×0valid
Compiler

Compiled 59 to 15 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 6.0ms (32.9% of total)
const: 6.0ms (32.9% of total)
ival-div: 2.0ms (11% of total)
ival-sqrt: 2.0ms (11% of total)
ival-acos: 2.0ms (11% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
31.1MiB live, 31.1MiB allocated; 0ms collecting garbage
Counts
6 → 10
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))
(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 x (*.f64 z y))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
Outputs
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx (* 1/18 (/ x (* z y))) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((* (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 (* z y)) (* 1/18 (/ x (* z y))))
1.0ms
t
@-inf
((* (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 (* z y)) (* 1/18 (/ x (* z y))))
1.0ms
x
@0
((* (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 (* z y)) (* 1/18 (/ x (* z y))))
1.0ms
x
@inf
((* (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 (* z y)) (* 1/18 (/ x (* z y))))
1.0ms
z
@-inf
((* (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 (* z y)) (* 1/18 (/ x (* z y))))

simplify31.0ms (0.3%)

Memory
-10.1MiB live, 37.1MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044188
191180
2260178
0892178
Stop Event
iter limit
iter limit
iter limit
unsound
Counts
10 → 10
Calls
Call 1
Inputs
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx (* 1/18 (/ x (* z y))) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
Outputs
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z)))))
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z))))
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z)))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx (/ x (* z y)) (/.f64 x (*.f64 y z)))
#s(approx (* 1/18 (/ x (* z y))) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* 1/18 (/ x (* z y))) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (* (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (acos (* (sqrt t) (* 1/18 (/ x (* z y))))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x (*.f64 y z))) (sqrt.f64 t))))
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* (sqrt t) (* 1/18 (/ x (* z y)))) (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) (/.f64 x z)))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) (sqrt.f64 t))

rewrite116.0ms (1.3%)

Memory
-0.0MiB live, 50.3MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01348
02048
14048
213548
070248
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
6 → 106
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))
(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 x (*.f64 z y))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 1/3 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 2 binary64)))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 3 binary64)))) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 2 binary64))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 2 binary64)) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 3 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (/.f64 (PI.f64) #s(literal 2 binary64))) (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))))
(+.f64 (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(*.f64 (*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)) (/.f64 x z))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) (/.f64 x y))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) (/.f64 x y))
(*.f64 (/.f64 (sqrt.f64 t) y) (*.f64 (/.f64 x z) #s(literal 1/18 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) z) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 t) z))
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) y))
(*.f64 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)) #s(literal 1/18 binary64))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (/.f64 x z) (sqrt.f64 t)))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (/.f64 x y) (sqrt.f64 t)))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(*.f64 (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)) (sqrt.f64 t))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) (neg.f64 y)) z)
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) y) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) z) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)
(/.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) (sqrt.f64 t)) y)
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) x) (sqrt.f64 t)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (neg.f64 y))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (neg.f64 x) z)) (neg.f64 y))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z)
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) z)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x))) (*.f64 y z))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) z) y)
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) x)) (*.f64 y z)))
(neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x (neg.f64 y)) z)))
(neg.f64 (*.f64 (/.f64 (/.f64 x (neg.f64 y)) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (neg.f64 (pow.f64 t #s(literal 1/4 binary64))) (neg.f64 (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 t #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 t t) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64))))
(/.f64 (/.f64 (neg.f64 x) z) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 x y) z)
(/.f64 (/.f64 x z) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x z) y)
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))
(/.f64 x (*.f64 y z))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) z))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1/18 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/18 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1/18 binary64) (*.f64 (neg.f64 y) z)))
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) y) (neg.f64 z))
(/.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) z) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(literal 1/18 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (neg.f64 x)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) x) z)
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) y)
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (neg.f64 x) z)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal -1/18 binary64) x)) (*.f64 y z))
(/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z)
(/.f64 (*.f64 (/.f64 x z) #s(literal 1/18 binary64)) y)
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(neg.f64 (/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 y z)))
(neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 (neg.f64 y) z)))
(neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x (neg.f64 y)) z)))
(neg.f64 (*.f64 (/.f64 (/.f64 x (neg.f64 y)) z) #s(literal 1/18 binary64)))

eval16.0ms (0.2%)

Memory
-9.3MiB live, 36.8MiB allocated; 3ms collecting garbage
Compiler

Compiled 2 067 to 505 computations (75.6% saved)

prune10.0ms (0.1%)

Memory
28.0MiB live, 28.0MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1140114
Fresh000
Picked011
Done011
Total1142116
Accuracy
98.5%
Counts
116 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
98.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64)))
Compiler

Compiled 240 to 121 computations (49.6% saved)

regimes39.0ms (0.4%)

Memory
-19.3MiB live, 74.7MiB allocated; 3ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #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 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #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 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) 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) y) x) #s(literal -1/18 binary64)) z)) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64)))) #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
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #s(literal 1/3 binary64)))
Calls

13 calls:

7.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
4.0ms
z
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
y
Results
AccuracySegmentsBranch
98.1%1(sqrt.f64 t)
98.1%1(*.f64 z #s(literal 2 binary64))
98.1%1(*.f64 y #s(literal 27 binary64))
98.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.1%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.1%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.1%1x
98.1%1y
98.1%1z
98.1%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes33.0ms (0.4%)

Memory
0.6MiB live, 58.0MiB allocated; 9ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #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 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) z)))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)))
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:

12.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
2.0ms
(*.f64 y #s(literal 27 binary64))
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
z
2.0ms
(sqrt.f64 t)
Results
AccuracySegmentsBranch
97.9%1(sqrt.f64 t)
97.9%1(*.f64 z #s(literal 2 binary64))
97.9%1(*.f64 y #s(literal 27 binary64))
97.9%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
97.9%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
97.9%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
97.9%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
97.9%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
97.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
97.9%1x
97.9%1y
97.9%1z
97.9%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes14.0ms (0.2%)

Memory
-7.5MiB live, 39.8MiB allocated; 1ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

13 calls:

1.0ms
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
1.0ms
(*.f64 z #s(literal 2 binary64))
1.0ms
(*.f64 y #s(literal 27 binary64))
1.0ms
(sqrt.f64 t)
1.0ms
t
Results
AccuracySegmentsBranch
96.9%1(sqrt.f64 t)
96.9%1(*.f64 z #s(literal 2 binary64))
96.9%1(*.f64 y #s(literal 27 binary64))
96.9%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
96.9%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
96.9%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
96.9%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))
96.9%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)))
96.9%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))))
96.9%1x
96.9%1y
96.9%1z
96.9%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

simplify47.0ms (0.5%)

Memory
3.5MiB live, 50.6MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04075
16375
215175
353975
4260975
5481775
Stop Event
node 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 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #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))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) x) (sqrt.f64 t)) y)) #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))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1/3 binary64)))

derivations101.0ms (1.1%)

Memory
-20.5MiB live, 26.7MiB allocated; 2ms collecting garbage
Stop Event
done
Compiler

Compiled 79 to 40 computations (49.4% saved)

preprocess34.0ms (0.4%)

Memory
12.3MiB live, 61.2MiB allocated; 5ms collecting garbage
Remove

(sort y z)

Compiler

Compiled 296 to 204 computations (31.1% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...