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

Time bar (total: 5.1s)

start0.0ms (0%)

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

analyze439.0ms (8.7%)

Memory
-2.0MiB live, 667.7MiB allocated; 123ms 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)

sample3.9s (76.9%)

Memory
86.0MiB live, 4 899.3MiB allocated; 1.3s collecting garbage
Samples
1.6s15 819×0invalid
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult!: 835.0ms (51.7% of total)
ival-div!: 289.0ms (17.9% of total)
ival-acos: 259.0ms (16% of total)
ival-sqrt: 228.0ms (14.1% of total)
adjust: 5.0ms (0.3% of total)
Bogosity

preprocess59.0ms (1.2%)

Memory
-3.8MiB live, 43.0MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092263
1365227
21619227
37658227
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(*.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)

series36.0ms (0.7%)

Memory
38.9MiB live, 83.6MiB allocated; 5ms 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
6.0ms
y
@-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)
4.0ms
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)

rewrite84.0ms (1.7%)

Memory
-22.5MiB live, 54.2MiB allocated; 16ms 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 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #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)) #s(literal 3 binary64)) (+.f64 z z)))))
#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 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))
(*.f64 (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)) (sqrt.f64 t))
(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 t)) (+.f64 z 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 z 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 z z)))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z 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 z 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 x (/.f64 #s(literal -1 binary64) (*.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 #s(literal -1 binary64) (*.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 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t))))

eval37.0ms (0.7%)

Memory
-34.3MiB live, 12.7MiB allocated; 2ms collecting garbage
Compiler

Compiled 392 to 217 computations (44.6% saved)

prune2.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New37340
Fresh000
Picked101
Done000
Total38341
Accuracy
98.5%
Counts
41 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))))))
97.6%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Compiler

Compiled 65 to 65 computations (0% saved)

series39.0ms (0.8%)

Memory
33.7MiB live, 78.8MiB allocated; 4ms collecting garbage
Counts
32 → 27
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)))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
#s(literal 3 binary64)
(+.f64 z z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z 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 (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 #s(hole binary64 x))
#s(approx (/ (* (/ x (* 27 y)) 3) (+ z z)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (/ x (* 27 y)) 3) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (* (/ 1 3) (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))))) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
#s(approx (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx z #s(hole binary64 z))
#s(approx (+ z z) #s(hole binary64 (* 2 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)))) #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 (* (/ 1 3) (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))))) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))))
#s(approx (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
Calls

12 calls:

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

rewrite39.0ms (0.8%)

Memory
-13.8MiB live, 82.0MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120733
0153684
0358684
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
59 → 100
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)))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
#s(literal 3 binary64)
(+.f64 z z)
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z 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 (* (* 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 #s(hole binary64 x))
#s(approx (/ (* (/ x (* 27 y)) 3) (+ z z)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (/ x (* 27 y)) 3) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (* (/ 1 3) (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))))) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
#s(approx (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx z #s(hole binary64 z))
#s(approx (+ z z) #s(hole binary64 (* 2 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)))) #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 (* (/ 1 3) (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))))) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))))
#s(approx (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
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)))
(*.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 #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 x z) y)
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (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 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (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 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (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 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))) (+.f64 z z))
(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 t)) (+.f64 z z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (+.f64 z 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 z z)))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z 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 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) y))
(/.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)
#s(literal 3 binary64)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 z z) (*.f64 z z)) (-.f64 z z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 z z) (*.f64 z z))))
(+.f64 z z)
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (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 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (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 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 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 (* (* 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 x)
#s(approx (/ (* (/ x (* 27 y)) 3) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (* (/ x (* 27 y)) 3) (*.f64 (/.f64 x y) #s(literal 1/9 binary64)))
#s(approx (/ x (* 27 y)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)))
#s(approx (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))))
#s(approx (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* z y) (*.f64 z y))
#s(approx y y)
#s(approx (* 27 y) (*.f64 #s(literal 27 binary64) y))
#s(approx z z)
#s(approx (+ z z) (+.f64 z 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 (* (/ 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 #s(literal -1 binary64) (*.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 #s(literal -1 binary64) (*.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 #s(literal -1 binary64) (*.f64 z y)))))
#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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))) #s(literal 1/3 binary64)))
#s(approx (- (/ (PI) 2) (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))))
#s(approx (asin (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))

eval14.0ms (0.3%)

Memory
-6.7MiB live, 39.7MiB allocated; 3ms collecting garbage
Compiler

Compiled 1 113 to 509 computations (54.3% saved)

prune5.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1033106
Fresh000
Picked213
Done000
Total1054109
Accuracy
98.5%
Counts
109 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) #s(literal 1/3 binary64))
98.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)))
97.8%
#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 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Compiler

Compiled 132 to 112 computations (15.2% saved)

series103.0ms (2%)

Memory
-4.0MiB live, 142.5MiB allocated; 7ms collecting garbage
Counts
41 → 38
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)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(asin.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 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) #s(literal 1/3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))
(asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z)))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
(/.f64 #s(literal 3 binary64) (+.f64 z z))
#s(literal 3 binary64)
(+.f64 z z)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 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 (* (* 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 (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
#s(approx (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
#s(approx (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
#s(approx (* (/ x (* 27 y)) (/ 3 (+ z z))) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
#s(approx y #s(hole binary64 y))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx z #s(hole binary64 z))
#s(approx (/ 3 (+ z z)) #s(hole binary64 (/ 3/2 z)))
#s(approx (+ z z) #s(hole binary64 (* 2 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))) #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 (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))))
#s(approx (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))
#s(approx (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
#s(approx (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
Calls

12 calls:

TimeVariablePointExpression
25.0ms
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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (* 1/2 (PI)) 1/2 (PI) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) 2 (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)) (* (/ x (* 27 y)) (/ 3 (+ z z))) (/ x (* 27 y)) (* 27 y) 27 (/ 3 (+ z z)) 3 (+ z z) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))))
24.0ms
z
@-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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (* 1/2 (PI)) 1/2 (PI) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) 2 (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)) (* (/ x (* 27 y)) (/ 3 (+ z z))) (/ x (* 27 y)) (* 27 y) 27 (/ 3 (+ z z)) 3 (+ z z) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))))
12.0ms
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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (* 1/2 (PI)) 1/2 (PI) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) 2 (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)) (* (/ x (* 27 y)) (/ 3 (+ z z))) (/ x (* 27 y)) (* 27 y) 27 (/ 3 (+ z z)) 3 (+ z z) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))))
6.0ms
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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (* 1/2 (PI)) 1/2 (PI) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) 2 (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)) (* (/ x (* 27 y)) (/ 3 (+ z z))) (/ x (* 27 y)) (* 27 y) 27 (/ 3 (+ z z)) 3 (+ z z) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))))
5.0ms
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 (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (* 1/2 (PI)) 1/2 (PI) (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (/ x (* z y)) (* z y) (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (* (/ (PI) 2) (/ (PI) 2)) (/ (PI) 2) 2 (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)) (* (/ x (* 27 y)) (/ 3 (+ z z))) (/ x (* 27 y)) (* 27 y) 27 (/ 3 (+ z z)) 3 (+ z z) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))))

rewrite55.0ms (1.1%)

Memory
-21.4MiB live, 112.0MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01631653
02131419
05621413
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
79 → 153
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)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(asin.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 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) #s(literal 1/3 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))))
(-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))
(asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z)))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
(/.f64 #s(literal 3 binary64) (+.f64 z z))
#s(literal 3 binary64)
(+.f64 z z)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 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 (* (* 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 (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))))
#s(approx (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
#s(approx (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
#s(approx (* (/ x (* 27 y)) (/ 3 (+ z z))) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
#s(approx y #s(hole binary64 y))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx z #s(hole binary64 z))
#s(approx (/ 3 (+ z z)) #s(hole binary64 (/ 3/2 z)))
#s(approx (+ z z) #s(hole binary64 (* 2 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))) #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 (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) #s(hole binary64 (* 1/3 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))))
#s(approx (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) #s(hole binary64 (- (* 1/2 (PI)) (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))
#s(approx (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
#s(approx (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.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 (/.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 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.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)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64))
(*.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 (*.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)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1/3 binary64)))
(*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.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) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (PI.f64))
#s(literal 1/2 binary64)
(PI.f64)
(asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.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)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64))
(*.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 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x z)) y)
(/.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 z y)
(*.f64 y z)
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64)))) (/.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)) (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 (+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64))) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))) (*.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))))))
(fma.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))))
(fma.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))))
(fma.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (*.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))))
(*.f64 (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (fabs.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (neg.f64 (/.f64 (PI.f64) #s(literal 2 binary64))))
(*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (PI.f64)) #s(literal 2 binary64))
(/.f64 (*.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (PI.f64)) #s(literal -2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (fabs.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) (fabs.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))))
(*.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))) (neg.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))))
(*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))))
(pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))
(asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))))
(*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 (/.f64 #s(literal 3 binary64) (+.f64 z z)) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))))
(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 t)) (+.f64 z z))
(*.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) (+.f64 z z)) (/.f64 x (*.f64 #s(literal 27 binary64) y)))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (+.f64 z z)))
(/.f64 (*.f64 x (/.f64 #s(literal 3 binary64) (+.f64 z z))) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) z) #s(literal 2 binary64))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z)))
(/.f64 (neg.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))) (neg.f64 (+.f64 z z)))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))
(/.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 -3 binary64) (neg.f64 (+.f64 z z)))
(/.f64 #s(literal 3 binary64) (+.f64 z z))
#s(literal 3 binary64)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 z z) (*.f64 z z)) (-.f64 z z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 z z) (*.f64 z z))))
(+.f64 z z)
(/.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (-.f64 (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) #s(literal 2 binary64))) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))))
(+.f64 (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))) (/.f64 (PI.f64) #s(literal 2 binary64)))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z))) (sqrt.f64 t))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.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 (/.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 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
#s(approx (/ (/ x z) y) (/.f64 x (*.f64 z y)))
#s(approx (/ x z) (/.f64 x z))
#s(approx x x)
#s(approx (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1/3 binary64)))
#s(approx (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
#s(approx (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 1/3 binary64)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))))
#s(approx (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)))
#s(approx (* (/ x (* 27 y)) (/ 3 (+ z z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (/ x (* 27 y)) (*.f64 (/.f64 x y) #s(literal 1/27 binary64)))
#s(approx (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
#s(approx y y)
#s(approx (* z y) (*.f64 z y))
#s(approx (* 27 y) (*.f64 #s(literal 27 binary64) y))
#s(approx z z)
#s(approx (/ 3 (+ z z)) (/.f64 #s(literal 3/2 binary64) z))
#s(approx (+ z z) (+.f64 z 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 (* (/ 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 #s(literal -1 binary64) (*.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 #s(literal -1 binary64) (*.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 #s(literal -1 binary64) (*.f64 z y)))))
#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 (* (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) 1/3) (*.f64 (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))) #s(literal 1/3 binary64)))
#s(approx (- (* 1/2 (PI)) (asin (* (* 1/18 (sqrt t)) (/ x (* z y))))) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))))
#s(approx (asin (* (* 1/18 (sqrt t)) (/ x (* z y)))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))) #s(literal 1/3 binary64)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))))
#s(approx (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64))))
#s(approx (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64)))
#s(approx (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))))

eval21.0ms (0.4%)

Memory
3.7MiB live, 59.0MiB allocated; 7ms collecting garbage
Compiler

Compiled 2 733 to 814 computations (70.2% saved)

prune5.0ms (0.1%)

Memory
19.9MiB live, 19.9MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1311132
Fresh000
Picked123
Done011
Total1324136
Accuracy
98.5%
Counts
136 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) #s(literal 1/3 binary64))
98.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)))
97.8%
#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 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Compiler

Compiled 158 to 130 computations (17.7% saved)

series38.0ms (0.7%)

Memory
-25.2MiB live, 113.0MiB allocated; 10ms collecting garbage
Counts
24 → 24
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) #s(literal 1/3 binary64))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))
(asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
Outputs
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
#s(approx (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
#s(approx (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ x (* z y)) (* 1/18 (sqrt t))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 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 (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))
#s(approx (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
#s(approx (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ x (* z y)) (* 1/18 (sqrt t))) #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 (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
Calls

12 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (/ x (* z y)) x (* z y) z y (* 1/18 (sqrt t)) 1/18 (sqrt t) t 2 (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) 1/2 1/3)
5.0ms
t
@-inf
((* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (/ x (* z y)) x (* z y) z y (* 1/18 (sqrt t)) 1/18 (sqrt t) t 2 (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) 1/2 1/3)
4.0ms
z
@0
((* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (/ x (* z y)) x (* z y) z y (* 1/18 (sqrt t)) 1/18 (sqrt t) t 2 (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) 1/2 1/3)
3.0ms
z
@-inf
((* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (/ x (* z y)) x (* z y) z y (* 1/18 (sqrt t)) 1/18 (sqrt t) t 2 (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) 1/2 1/3)
2.0ms
x
@-inf
((* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/ (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))))) (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (* (* (PI) (PI)) 1/4) (* (PI) (PI)) (PI) 1/4 (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (* (/ x (* z y)) (* 1/18 (sqrt t))) (/ x (* z y)) x (* z y) z y (* 1/18 (sqrt t)) 1/18 (sqrt t) t 2 (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) 1/2 1/3)

rewrite70.0ms (1.4%)

Memory
8.9MiB live, 109.9MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01081106
0133973
0462970
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
48 → 82
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) #s(literal 1/3 binary64))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (PI.f64))
(PI.f64)
#s(literal 1/4 binary64)
(pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))
(asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 2 binary64)
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI))))))
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2))))
#s(approx (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) 2)))
#s(approx (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ x (* z y)) (* 1/18 (sqrt t))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ x (* y z))))) (* 1/2 (PI)))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 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 (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) #s(hole binary64 (* 1/3 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) #s(hole binary64 (/ (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)) (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI))))))
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) #s(hole binary64 (- (* 1/4 (pow (PI) 2)) (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2))))
#s(approx (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) #s(hole binary64 (pow (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) 2)))
#s(approx (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) #s(hole binary64 (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ x (* z y)) (* 1/18 (sqrt t))) #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 (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) #s(hole binary64 (+ (asin (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))) (* 1/2 (PI)))))
Outputs
(*.f64 #s(literal 1/3 binary64) #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))))
(*.f64 #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))) #s(literal 1/3 binary64))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))) (/.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64)))
(*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (PI.f64)) (fabs.f64 (PI.f64)))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 (PI.f64)))
(*.f64 (PI.f64) (PI.f64))
(pow.f64 (PI.f64) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))
(PI.f64)
#s(literal 1/4 binary64)
(*.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1 binary64)))
(*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))
(pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)))
(asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 z y))
(/.f64 (/.f64 x z) y)
(/.f64 (/.f64 x y) z)
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y)))
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
(*.f64 y z)
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
#s(literal 2 binary64)
(/.f64 (-.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (-.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))
(/.f64 (+.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) (*.f64 #s(literal 1/2 binary64) (PI.f64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))
(-.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) (*.f64 #s(literal -1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))
(+.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
#s(literal 1/2 binary64)
#s(literal 1/3 binary64)
#s(approx (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1/3 binary64)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))))
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64))))
#s(approx (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (pow.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)))
#s(approx (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t))))
#s(approx (* (/ x (* z y)) (* 1/18 (sqrt t))) (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))
#s(approx (/ x (* z y)) (/.f64 x (*.f64 z y)))
#s(approx x x)
#s(approx (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)) (sqrt.f64 t)))))
#s(approx (* z y) (*.f64 z y))
#s(approx y y)
#s(approx z 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 (* (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) 1/3) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))) #s(literal 1/3 binary64)))
#s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))))
#s(approx (- (* (* (PI) (PI)) 1/4) (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2)) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64))))
#s(approx (pow (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) 2) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 2 binary64)))
#s(approx (asin (* (/ x (* z y)) (* 1/18 (sqrt t)))) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))
#s(approx (* (/ x (* z y)) (* 1/18 (sqrt t))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#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 (+ (* (PI) 1/2) (asin (* (/ x (* z y)) (* 1/18 (sqrt t))))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))))

eval8.0ms (0.2%)

Memory
26.0MiB live, 26.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 585 to 495 computations (68.8% saved)

prune34.0ms (0.7%)

Memory
-17.1MiB live, 24.4MiB allocated; 8ms collecting garbage
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New64064
Fresh000
Picked011
Done033
Total64468
Accuracy
98.5%
Counts
68 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) #s(literal 1/3 binary64))
98.1%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64)))
97.8%
#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 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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Compiler

Compiled 345 to 231 computations (33% saved)

regimes63.0ms (1.3%)

Memory
12.0MiB live, 101.9MiB allocated; 43ms collecting garbage
Accuracy

Total -1.0b remaining (-85.8%)

Threshold costs -1b (-85.8%)

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 #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 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.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 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))))))
(*.f64 #s(approx (/ (- (* (/ (PI) 2) (/ (PI) 2)) (* (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (+ (/ (PI) 2) (asin (* (* (/ x (* 27 y)) (/ 3 (+ z z))) (sqrt t))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) #s(literal 1/3 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))) #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:

23.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
14.0ms
y
2.0ms
t
2.0ms
(*.f64 y #s(literal 27 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)

derivations2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 28 to 28 computations (0% saved)

preprocess17.0ms (0.3%)

Memory
-14.4MiB live, 29.9MiB allocated; 7ms collecting garbage
Remove

(sort y z)

Compiler

Compiled 103 to 102 computations (1% saved)

end0.0ms (0%)

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

Profiling

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