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

Time bar (total: 4.6s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze381.0ms (8.2%)

Memory
27.0MiB live, 676.8MiB allocated; 129ms 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)

sample3.4s (73.6%)

Memory
67.6MiB live, 4 513.7MiB allocated; 884ms collecting garbage
Samples
1.4s15 532×0invalid
954.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult!: 543.0ms (38.1% of total)
ival-sqrt: 377.0ms (26.4% of total)
ival-div!: 303.0ms (21.2% of total)
ival-acos: 199.0ms (13.9% of total)
adjust: 4.0ms (0.3% of total)
Bogosity

explain194.0ms (4.2%)

Memory
-55.0MiB live, 262.6MiB allocated; 101ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
190-2(1.2331215860333657e-94 -4.77723000347445e+221 2.7604713128218934e-257 5.212422907298538e-221)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
150-4(2.024785073743844e-113 9.120084662931486e+136 1.7654070793966414e+60 3.2107602095432623e+276)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
00-0-t
00-0-#s(literal 3 binary64)
00-0-#s(literal 1 binary64)
01(1.9874019688287874e-191 -5.7696464621169936e+131 1.7118502209402074e-121 6.68800352492644e+86)0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-(*.f64 y #s(literal 27 binary64))
00-0-y
00-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-#s(literal 27 binary64)
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-(sqrt.f64 t)
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))u/n170
(/.f64 x (*.f64 y #s(literal 27 binary64)))underflow59
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))underflow58
*.f64(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))n*u110
*.f64(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))n*u10
Confusion
Predicted +Predicted -
+00
-29227
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-290227
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0227
129
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
45.0ms512×0valid
Compiler

Compiled 203 to 58 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult!: 10.0ms (41.9% of total)
ival-div!: 5.0ms (20.9% of total)
ival-sqrt: 4.0ms (16.8% of total)
ival-acos: 4.0ms (16.8% of total)
adjust: 0.0ms (0% of total)

preprocess50.0ms (1.1%)

Memory
-6.3MiB live, 41.9MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092263
1287227
21042197
33987197
47017197
Stop Event
node-limit
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))))
Symmetry

(sort y z)

Compiler

Compiled 38 to 36 computations (5.3% saved)

series35.0ms (0.8%)

Memory
11.0MiB live, 56.7MiB allocated; 4ms collecting garbage
Counts
18 → 17
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
#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 (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (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 (/ (* 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 (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#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 (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (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))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
Calls

12 calls:

TimeVariablePointExpression
7.0ms
t
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
4.0ms
y
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
4.0ms
x
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
3.0ms
x
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
3.0ms
t
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)

rewrite36.0ms (0.8%)

Memory
6.7MiB live, 52.8MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074353
090340
0186340
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
35 → 51
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
#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 (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (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 (/ (* 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 (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#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 (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (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))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) z) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z))
(*.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 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 27 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
x
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(+.f64 z z)
z
#s(literal 2 binary64)
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
t
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (* 3 (/ x (* y 27))) (*.f64 (/.f64 x y) #s(literal 1/9 binary64)))
#s(approx (/ x (* y 27)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx x x)
#s(approx (* y 27) (*.f64 #s(literal 27 binary64) y))
#s(approx y y)
#s(approx (* z 2) (*.f64 #s(literal 2 binary64) z))
#s(approx z z)
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t))))

eval5.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 116 to 218 computations (80.5% saved)

prune3.0ms (0.1%)

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

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New48452
Fresh000
Picked101
Done000
Total49453
Accuracy
98.5%
Counts
53 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
97.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
96.8%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
Compiler

Compiled 102 to 92 computations (9.8% saved)

series49.0ms (1.1%)

Memory
-0.8MiB live, 92.4MiB allocated; 14ms collecting garbage
Counts
41 → 49
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))
(/.f64 x y)
x
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 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) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(/.f64 x (*.f64 z y))
(*.f64 z y)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
#s(literal 3 binary64)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(*.f64 y #s(literal 27 binary64))
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))
(/.f64 #s(literal 3 binary64) z)
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(*.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 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ x y) (/ -1 z)) #s(hole binary64 (* -1 (/ x (* y z)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ 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 (* 1/3 (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 (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (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 (/ (* 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 (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ (/ x (* 27 y)) 2) #s(hole binary64 (* 1/54 (/ x y))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx y #s(hole binary64 y))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx (/ -1 z) #s(hole binary64 (/ -1 z)))
#s(approx z #s(hole binary64 z))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx (/ 3 z) #s(hole binary64 (/ 3 z)))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#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 (sqrt t)) (* (/ x y) (/ -1 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 (sqrt t)) (* (/ x y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ 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 (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y 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 (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (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))))))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 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) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
Calls

12 calls:

TimeVariablePointExpression
12.0ms
z
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) 3 (/ x (* y 27)) (* y 27) 27 (* z 2) 2 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) (/ (/ x (* 27 y)) 2) (/ x (* 27 y)) (* 27 y))
6.0ms
x
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) 3 (/ x (* y 27)) (* y 27) 27 (* z 2) 2 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) (/ (/ x (* 27 y)) 2) (/ x (* 27 y)) (* 27 y))
4.0ms
x
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) 3 (/ x (* y 27)) (* y 27) 27 (* z 2) 2 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) (/ (/ x (* 27 y)) 2) (/ x (* 27 y)) (* 27 y))
3.0ms
y
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) 3 (/ x (* y 27)) (* y 27) 27 (* z 2) 2 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) (/ (/ x (* 27 y)) 2) (/ x (* 27 y)) (* 27 y))
3.0ms
y
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (* (/ x y) (/ -1 z)) (/ x y) x y (/ -1 z) -1 z 1/3 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* 1/3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) 3 (/ x (* y 27)) (* y 27) 27 (* z 2) 2 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) (/ (/ x (* 27 y)) 2) (/ x (* 27 y)) (* 27 y))

rewrite47.0ms (1%)

Memory
19.8MiB live, 63.8MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01521293
02041221
03901221
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
90 → 159
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))
(/.f64 x y)
x
y
(/.f64 #s(literal -1 binary64) z)
#s(literal -1 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) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(/.f64 x (*.f64 z y))
(*.f64 z y)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
#s(literal 3 binary64)
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(*.f64 y #s(literal 27 binary64))
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))
(/.f64 #s(literal 3 binary64) z)
(/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) 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 (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) #s(hole binary64 (* 1/3 (acos (* -1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ x y) (/ -1 z)) #s(hole binary64 (* -1 (/ x (* y z)))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx x #s(hole binary64 x))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ 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 (* 1/3 (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 (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (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 (/ (* 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 (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ (/ x (* 27 y)) 2) #s(hole binary64 (* 1/54 (/ x y))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx y #s(hole binary64 y))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx (/ -1 z) #s(hole binary64 (/ -1 z)))
#s(approx z #s(hole binary64 z))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx (/ 3 z) #s(hole binary64 (/ 3 z)))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#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 (sqrt t)) (* (/ x y) (/ -1 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 (sqrt t)) (* (/ x y) (/ -1 z)))) #s(hole binary64 (acos (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ 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 (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y 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 (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (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))))))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 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) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
Outputs
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (sqrt.f64 t)) #s(literal 1/18 binary64))
(*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
t
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x y))
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 z y)))
(*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) x) y) z)
(/.f64 (*.f64 x (/.f64 #s(literal -1 binary64) z)) y)
(/.f64 (*.f64 (/.f64 x y) #s(literal -1 binary64)) z)
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (neg.f64 (*.f64 z y)))
(/.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 z y))
(neg.f64 (/.f64 x (*.f64 z y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
(/.f64 #s(literal -1 binary64) z)
(/.f64 #s(literal 1 binary64) (neg.f64 z))
#s(literal -1 binary64)
z
#s(literal 1/3 binary64)
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(/.f64 (/.f64 x z) y)
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(*.f64 z y)
(*.f64 y z)
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t)))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64)) z) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64))) z)
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 27 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 27 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y))
#s(literal 3 binary64)
(/.f64 (/.f64 x #s(literal 27 binary64)) y)
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 27 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
#s(literal 27 binary64)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(+.f64 z z)
#s(literal 2 binary64)
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t)))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z)))
(/.f64 (*.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 #s(literal 2 binary64) z))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) (*.f64 #s(literal 2 binary64) z)))
(/.f64 (/.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64)) z) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64))) z)
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 27 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) z)))
(/.f64 (*.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z))
(/.f64 #s(literal -3 binary64) (neg.f64 z))
(/.f64 #s(literal 3 binary64) z)
(/.f64 (neg.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64))) #s(literal -2 binary64))
(/.f64 (/.f64 (/.f64 x y) #s(literal 27 binary64)) #s(literal 2 binary64))
(/.f64 x (*.f64 (*.f64 #s(literal 27 binary64) y) #s(literal 2 binary64)))
(/.f64 (/.f64 x #s(literal 27 binary64)) y)
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 27 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (* (/ x y) (/ -1 z)) (neg.f64 (/.f64 x (*.f64 z y))))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (/ x (* z y)) (/.f64 x (*.f64 z y)))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (* 3 (/ x (* y 27))) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))
#s(approx (/ x (* 27 y)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))
#s(approx (/ x (* 27 y)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx y y)
#s(approx (* z y) (*.f64 z y))
#s(approx (* 27 y) (*.f64 #s(literal 27 binary64) y))
#s(approx (* 27 y) (*.f64 #s(literal 27 binary64) y))
#s(approx (/ -1 z) (/.f64 #s(literal -1 binary64) z))
#s(approx z z)
#s(approx (* z 2) (*.f64 #s(literal 2 binary64) z))
#s(approx (/ 3 z) (/.f64 #s(literal 3 binary64) z))
#s(approx (* 1/18 (sqrt t)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z)))) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y))))))
#s(approx (* (* 1/18 (sqrt t)) (* (/ x y) (/ -1 z))) (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
#s(approx (* 1/18 (sqrt t)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) #s(literal -1/18 binary64)))
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (*.f64 (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y)))))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y)))))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (acos.f64 (*.f64 (neg.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 (/.f64 x (*.f64 z y)))))

eval21.0ms (0.5%)

Memory
-2.1MiB live, 43.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 4 905 to 643 computations (86.9% saved)

prune26.0ms (0.6%)

Memory
4.9MiB live, 52.6MiB allocated; 2ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1692171
Fresh000
Picked314
Done000
Total1723175
Accuracy
98.5%
Counts
175 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64))
97.7%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
97.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Compiler

Compiled 89 to 77 computations (13.5% saved)

series65.0ms (1.4%)

Memory
-48.0MiB live, 54.3MiB allocated; 8ms collecting garbage
Counts
24 → 29
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))))))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))
(*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))))
(/.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
#s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/54 binary64) (/.f64 x y))
#s(literal 1/54 binary64)
(/.f64 x 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 (sqrt t)) (/ (/ x z) y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ 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 (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ (/ x (* 27 y)) 2) #s(hole binary64 (* 1/54 (/ x y))))
#s(approx (* 1/54 (/ x y)) #s(hole binary64 (* 1/54 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
#s(approx (/ 3 z) #s(hole binary64 (/ 3 z)))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#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 (sqrt t)) (/ (/ 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 (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 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) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
Calls

12 calls:

TimeVariablePointExpression
27.0ms
x
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) 3 (/ (/ x (* 27 y)) 2) (* 1/54 (/ x y)) 1/54 (/ x y))
19.0ms
t
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) 3 (/ (/ x (* 27 y)) 2) (* 1/54 (/ x y)) 1/54 (/ x y))
3.0ms
x
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) 3 (/ (/ x (* 27 y)) 2) (* 1/54 (/ x y)) 1/54 (/ x y))
3.0ms
x
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) 3 (/ (/ x (* 27 y)) 2) (* 1/54 (/ x y)) 1/54 (/ x y))
2.0ms
y
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3 (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (/ 3 z) 3 (/ (/ x (* 27 y)) 2) (* 1/54 (/ x y)) 1/54 (/ x y))

rewrite30.0ms (0.6%)

Memory
37.9MiB live, 37.9MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103724
0125696
0276696
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
53 → 76
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))))))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))
(*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y))))
(/.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
#s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/54 binary64) (/.f64 x y))
#s(literal 1/54 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 (* y z))))))))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ 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 (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ (/ x (* 27 y)) 2) #s(hole binary64 (* 1/54 (/ x y))))
#s(approx (* 1/54 (/ x y)) #s(hole binary64 (* 1/54 (/ x y))))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
#s(approx (/ 3 z) #s(hole binary64 (/ 3 z)))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#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 (sqrt t)) (/ (/ 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 (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 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) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
Outputs
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x z)) y)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
t
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 x y) z)
(/.f64 (/.f64 x z) y)
(/.f64 x (*.f64 z y))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
x
z
y
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (sqrt.f64 t))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (sqrt.f64 t)))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))))
(*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))))
(*.f64 #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64))) (/.f64 #s(literal 3 binary64) z))
(/.f64 (*.f64 #s(literal 3 binary64) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))) z)
(/.f64 #s(literal -3 binary64) (neg.f64 z))
(/.f64 #s(literal 3 binary64) z)
#s(literal 3 binary64)
#s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))
(*.f64 (/.f64 x y) #s(literal 1/54 binary64))
(*.f64 #s(literal 1/54 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/54 binary64) x) y)
#s(literal 1/54 binary64)
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (/ (/ x z) y) (/.f64 x (*.f64 z y)))
#s(approx (/ x z) (/.f64 x z))
#s(approx x x)
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (* (/ 3 z) (/ (/ x (* 27 y)) 2)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (/ (/ x (* 27 y)) 2) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))
#s(approx (* 1/54 (/ x y)) (*.f64 (/.f64 x y) #s(literal 1/54 binary64)))
#s(approx (/ x y) (/.f64 x y))
#s(approx y y)
#s(approx z z)
#s(approx (/ 3 z) (/.f64 #s(literal 3 binary64) z))
#s(approx (* 1/18 (sqrt t)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
#s(approx (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))
#s(approx (* 1/18 (sqrt t)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) #s(literal -1/18 binary64)))
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t))))
#s(approx (* (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) 1/3) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2)))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))))
#s(approx (* (sqrt t) (* (/ 3 z) (/ (/ x (* 27 y)) 2))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z))))

eval44.0ms (1%)

Memory
-29.6MiB live, 17.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 2 590 to 330 computations (87.3% saved)

prune8.0ms (0.2%)

Memory
15.2MiB live, 15.2MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh000
Picked022
Done011
Total85388
Accuracy
98.5%
Counts
88 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64))
97.7%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
97.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Compiler

Compiled 266 to 151 computations (43.2% saved)

regimes69.0ms (1.5%)

Memory
13.8MiB live, 60.4MiB allocated; 2ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 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
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64))))) #s(literal 1/3 binary64))
Calls

13 calls:

41.0ms
(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)))
2.0ms
z
2.0ms
t
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
(sqrt.f64 t)
Results
AccuracySegmentsBranch
98.1%1(sqrt.f64 t)
98.1%1(*.f64 z #s(literal 2 binary64))
98.1%1(*.f64 y #s(literal 27 binary64))
98.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.1%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.1%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.1%1x
98.1%1y
98.1%1z
98.1%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes75.0ms (1.6%)

Memory
-43.0MiB live, 59.0MiB allocated; 17ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) z)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) #s(approx (/ (/ x (* 27 y)) 2) (*.f64 #s(literal 1/54 binary64) (/.f64 x y)))))) #s(literal 1/3 binary64))
Calls

13 calls:

50.0ms
y
4.0ms
(sqrt.f64 t)
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
z
2.0ms
t
Results
AccuracySegmentsBranch
98.1%1(sqrt.f64 t)
98.1%1(*.f64 z #s(literal 2 binary64))
98.1%1(*.f64 y #s(literal 27 binary64))
98.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.1%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.1%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.1%1x
98.1%1y
98.1%1z
98.1%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes22.0ms (0.5%)

Memory
10.6MiB live, 54.2MiB allocated; 4ms collecting garbage
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
Calls

13 calls:

4.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
t
1.0ms
(sqrt.f64 t)
1.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
1.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
97.7%1(sqrt.f64 t)
97.7%1(*.f64 z #s(literal 2 binary64))
97.7%1(*.f64 y #s(literal 27 binary64))
97.7%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
97.7%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
97.7%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
97.7%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))
97.7%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)))
97.7%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))))
97.7%1x
97.7%1y
97.7%1z
97.7%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes14.0ms (0.3%)

Memory
-3.1MiB live, 43.5MiB allocated; 2ms 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Calls

13 calls:

2.0ms
(sqrt.f64 t)
1.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
1.0ms
(*.f64 z #s(literal 2 binary64))
1.0ms
(*.f64 y #s(literal 27 binary64))
1.0ms
z
Results
AccuracySegmentsBranch
97.1%1(sqrt.f64 t)
97.1%1(*.f64 z #s(literal 2 binary64))
97.1%1(*.f64 y #s(literal 27 binary64))
97.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
97.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
97.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
97.1%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))
97.1%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)))
97.1%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))))
97.1%1x
97.1%1y
97.1%1z
97.1%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

derivations7.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 106 to 56 computations (47.2% saved)

preprocess39.0ms (0.8%)

Memory
-7.0MiB live, 94.3MiB allocated; 12ms collecting garbage
Remove

(sort y z)

Compiler

Compiled 496 to 368 computations (25.8% saved)

end0.0ms (0%)

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

Profiling

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