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

Time bar (total: 4.5s)

start0.0ms (0%)

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

analyze528.0ms (11.8%)

Memory
-15.4MiB live, 721.3MiB allocated; 286ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample3.4s (77.1%)

Memory
92.9MiB live, 5 925.8MiB allocated; 1.2s collecting garbage
Samples
1.4s15 594×0invalid
852.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-mult!: 634.0ms (46.4% of total)
ival-div!: 334.0ms (24.4% of total)
ival-sqrt: 232.0ms (17% of total)
ival-acos: 164.0ms (12% of total)
adjust: 5.0ms (0.4% of total)
Bogosity

preprocess70.0ms (1.6%)

Memory
-10.8MiB live, 33.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092263
1401227
22127227
37278227
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Compiler

Compiled 38 to 36 computations (5.3% saved)

series44.0ms (1%)

Memory
7.0MiB live, 97.7MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063235
Stop Event
iter-limit
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)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
#s(approx (* 3 (/ x (* y 27))) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))
#s(approx (/ x (* y 27)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx x x)
#s(approx (* y 27) (*.f64 #s(literal 27 binary64) y))
#s(approx y y)
#s(approx (* z 2) (*.f64 #s(literal 2 binary64) z))
#s(approx z z)
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z))))
#s(approx (sqrt t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z))))
#s(approx (sqrt t) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
Calls

12 calls:

TimeVariablePoint
10.0ms
y
-inf
5.0ms
z
inf
4.0ms
x
-inf
3.0ms
x
0
3.0ms
x
inf

rewrite54.0ms (1.2%)

Memory
15.6MiB live, 70.8MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01886
02986
17276
041076
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
18 → 125
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))))))))
(neg.f64 (-.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 3 binary64) z)) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 3 binary64)) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (sqrt.f64 t) z))
(*.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (/.f64 (sqrt.f64 t) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) z) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)) (sqrt.f64 t))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 (/.f64 #s(literal 1/2 binary64) z) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (+.f64 z z)))
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) (sqrt.f64 t)))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 t) (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))))
(/.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 t)) (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal 2 binary64)) z)
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) z) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (+.f64 z z))
(/.f64 (sqrt.f64 t) (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z z) (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))))
(*.f64 (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z) #s(literal 3/2 binary64))
(*.f64 #s(literal 3/2 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) z))
(*.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 1/2 binary64))
(*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z) #s(literal 3 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal 3 binary64) z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x y) #s(literal 54 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) z)))
(*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) z))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))
(pow.f64 (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 x (*.f64 #s(literal 27 binary64) y))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 z z))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x y) #s(literal 54 binary64))) z)
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) #s(literal 2 binary64)) z)
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))) (neg.f64 (*.f64 #s(literal -2 binary64) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) y) (+.f64 z z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z z) (*.f64 #s(literal 1/9 binary64) (/.f64 x y))))
(neg.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (*.f64 #s(literal -2 binary64) z)))
(neg.f64 (/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y))) (+.f64 z z)))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 x #s(literal 27 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1/27 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) (/.f64 x y)) #s(literal 27 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) y) #s(literal 27 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) y))
(/.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 x y) #s(literal 1/27 binary64))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -27 binary64) y)))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))
(pow.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal -1 binary64))
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 x #s(literal 27 binary64)) y)
(/.f64 (neg.f64 (/.f64 x y)) #s(literal -27 binary64))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 #s(literal -27 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x)))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 (neg.f64 x) (*.f64 #s(literal -27 binary64) y))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 27 binary64) y) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x))
(neg.f64 (/.f64 x (*.f64 #s(literal -27 binary64) y)))
(neg.f64 (/.f64 (neg.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))
(fma.f64 z #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) z (*.f64 #s(literal 1 binary64) z))
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) z))
(+.f64 z z)
z
#s(literal 2 binary64)
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64)))
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 t) (sqrt.f64 t)))
(sqrt.f64 t)
(fabs.f64 (neg.f64 (sqrt.f64 t)))
(fabs.f64 (sqrt.f64 t))
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
t

eval20.0ms (0.5%)

Memory
-6.1MiB live, 38.3MiB allocated; 10ms collecting garbage
Compiler

Compiled 2 714 to 690 computations (74.6% saved)

prune3.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1292131
Fresh000
Picked101
Done000
Total1302132
Accuracy
98.5%
Counts
132 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) #s(literal 1/3 binary64))
97.3%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))))
Compiler

Compiled 48 to 42 computations (12.5% saved)

series31.0ms (0.7%)

Memory
18.2MiB live, 63.5MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070309
Stop Event
iter-limit
Counts
22 → 23
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
#s(literal 1/9 binary64)
(/.f64 x y)
(+.f64 z z)
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))))
#s(approx (acos (* 1/18 (/ (* x (sqrt t)) (* y z)))) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))
#s(approx (* 1/18 (/ (* x (sqrt t)) (* y z))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))
#s(approx (/ (* x (sqrt t)) (* y z)) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))
#s(approx (* x (sqrt t)) (*.f64 x (sqrt.f64 t)))
#s(approx x x)
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
#s(approx (* 1/9 (/ x y)) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))
#s(approx (/ x y) (/.f64 x y))
#s(approx (* y z) (*.f64 y z))
#s(approx y y)
#s(approx z z)
#s(approx (+ z z) (*.f64 #s(literal 2 binary64) z))
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* 1/18 (/ (* x (sqrt t)) (* y z))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z))))
#s(approx (/ (* x (sqrt t)) (* y z)) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z)))
#s(approx (* x (sqrt t)) (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (sqrt t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
#s(approx (* 1/18 (/ (* x (sqrt t)) (* y z))) (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z))))
#s(approx (/ (* x (sqrt t)) (* y z)) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z))))
#s(approx (* x (sqrt t)) (*.f64 #s(literal -1 binary64) (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))))
#s(approx (sqrt t) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
Calls

12 calls:

TimeVariablePoint
9.0ms
y
inf
3.0ms
y
-inf
3.0ms
x
-inf
2.0ms
z
-inf
2.0ms
x
inf

rewrite26.0ms (0.6%)

Memory
-17.1MiB live, 28.9MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036149
050149
0156149
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
22 → 55
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))
(*.f64 x (sqrt.f64 t))
x
(sqrt.f64 t)
t
(*.f64 y z)
y
z
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z)))
(/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.f64 z z))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
#s(literal 1/9 binary64)
(/.f64 x y)
(+.f64 z 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) (*.f64 (sqrt.f64 t) x)) (*.f64 z y))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y))))
#s(literal 1/3 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y))))
(acos.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z y))
#s(literal 1/18 binary64)
(*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 x (/.f64 (sqrt.f64 t) (*.f64 z y)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (neg.f64 (*.f64 z y)))
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 (sqrt.f64 t) x)))
(*.f64 (sqrt.f64 t) x)
(*.f64 x (sqrt.f64 t))
x
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
(fabs.f64 (sqrt.f64 t))
t
(*.f64 z y)
(*.f64 y z)
y
z
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)) (sqrt.f64 t))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) #s(literal 1/9 binary64))) (+.f64 z z))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z z)))
(*.f64 #s(literal 1/9 binary64) (/.f64 (/.f64 x y) (+.f64 z z)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64))) (neg.f64 (+.f64 z z)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/9 binary64)) (+.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z z) (*.f64 (/.f64 x y) #s(literal 1/9 binary64))))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
(/.f64 (*.f64 #s(literal 1/9 binary64) x) y)
#s(literal 1/9 binary64)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 z z)) z)
(*.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 (neg.f64 z))
(+.f64 z z)

eval7.0ms (0.2%)

Memory
8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 016 to 409 computations (79.7% saved)

prune3.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New71273
Fresh000
Picked202
Done000
Total73275
Accuracy
98.5%
Counts
75 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
97.7%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))))
Compiler

Compiled 56 to 47 computations (16.1% saved)

series71.0ms (1.6%)

Memory
-12.7MiB live, 52.2MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078344
Stop Event
iter-limit
Counts
21 → 24
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
z
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(/.f64 x (*.f64 y z))
(*.f64 y z)
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))))
#s(approx (acos (* 1/18 (/ (/ (* (sqrt t) x) y) z))) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))
#s(approx (* 1/18 (/ (/ (* (sqrt t) x) y) z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))
#s(approx (/ (/ (* (sqrt t) x) y) z) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))
#s(approx (/ (* (sqrt t) x) y) (/.f64 (*.f64 x (sqrt.f64 t)) y))
#s(approx (* (sqrt t) x) (*.f64 x (sqrt.f64 t)))
#s(approx x x)
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
#s(approx (/ x (* y z)) (/.f64 x (*.f64 y z)))
#s(approx y y)
#s(approx (* y z) (*.f64 y z))
#s(approx z z)
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* 1/18 (/ (/ (* (sqrt t) x) y) z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z))))
#s(approx (/ (/ (* (sqrt t) x) y) z) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z)))
#s(approx (/ (* (sqrt t) x) y) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) y))
#s(approx (* (sqrt t) x) (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (sqrt t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
#s(approx (* 1/18 (/ (/ (* (sqrt t) x) y) z)) (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z))))
#s(approx (/ (/ (* (sqrt t) x) y) z) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z))))
#s(approx (/ (* (sqrt t) x) y) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) y)))
#s(approx (* (sqrt t) x) (*.f64 #s(literal -1 binary64) (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))))
#s(approx (sqrt t) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
Calls

12 calls:

TimeVariablePoint
48.0ms
y
inf
3.0ms
x
-inf
3.0ms
y
-inf
2.0ms
x
inf
2.0ms
z
-inf

rewrite33.0ms (0.7%)

Memory
4.2MiB live, 48.9MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040187
053187
0166187
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
21 → 46
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
y
z
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(/.f64 x (*.f64 y z))
(*.f64 y z)
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64))))
#s(literal 1/3 binary64)
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y)) z)
#s(literal 1/18 binary64)
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) (/.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 (sqrt.f64 t) x) y)))
(*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (sqrt.f64 t) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) x)) (neg.f64 y))
(/.f64 (*.f64 (sqrt.f64 t) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 t) x)))
(*.f64 (sqrt.f64 t) x)
(*.f64 x (sqrt.f64 t))
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
(fabs.f64 (sqrt.f64 t))
t
x
y
z
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(*.f64 z y)
(*.f64 y z)

eval11.0ms (0.3%)

Memory
-16.7MiB live, 25.8MiB allocated; 6ms collecting garbage
Compiler

Compiled 2 181 to 383 computations (82.4% saved)

prune4.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New66167
Fresh000
Picked112
Done000
Total67269
Accuracy
98.5%
Counts
69 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
Compiler

Compiled 46 to 38 computations (17.4% saved)

series40.0ms (0.9%)

Memory
-29.7MiB live, 68.9MiB allocated; 25ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051203
Stop Event
iter-limit
Counts
14 → 15
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(sqrt.f64 t)
t
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
Outputs
#s(approx (* (acos (* (sqrt t) (/ (* 1/9 (/ x y)) (+ z z)))) 1/3) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))))
#s(approx (acos (* (sqrt t) (/ (* 1/9 (/ x y)) (+ z z)))) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))
#s(approx (* (sqrt t) (/ (* 1/9 (/ x y)) (+ z z))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
#s(approx (/ (/ x y) z) (/.f64 x (*.f64 y z)))
#s(approx (/ x y) (/.f64 x y))
#s(approx x x)
#s(approx y y)
#s(approx z z)
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* (sqrt t) (/ (* 1/9 (/ x y)) (+ z z))) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z))))
#s(approx (sqrt t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
#s(approx (* (sqrt t) (/ (* 1/9 (/ x y)) (+ z z))) (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z))))
#s(approx (sqrt t) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
Calls

12 calls:

TimeVariablePoint
13.0ms
t
-inf
9.0ms
x
-inf
2.0ms
x
inf
2.0ms
y
-inf
2.0ms
z
-inf

rewrite20.0ms (0.4%)

Memory
36.5MiB live, 36.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019104
026104
082104
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
14 → 28
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(sqrt.f64 t)
t
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(*.f64 (acos.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))) (sqrt.f64 t))))
(acos.f64 (*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))) (sqrt.f64 t)))
(*.f64 #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
(fabs.f64 (sqrt.f64 t))
t
#s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
#s(literal 1/18 binary64)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x y)))
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 y z))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
x
y
z
#s(literal 1/3 binary64)

eval8.0ms (0.2%)

Memory
-31.2MiB live, 14.2MiB allocated; 7ms collecting garbage
Compiler

Compiled 795 to 183 computations (77% saved)

prune2.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New31031
Fresh000
Picked011
Done011
Total31233
Accuracy
98.5%
Counts
33 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
98.1%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
Compiler

Compiled 46 to 38 computations (17.4% saved)

regimes31.0ms (0.7%)

Memory
37.7MiB live, 82.7MiB allocated; 5ms collecting garbage
Accuracy

Total -0.9b remaining (-70.9%)

Threshold costs -0.9b (-70.9%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) y) z)))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (+.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))))
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) #s(approx (/ (* 1/9 (/ x y)) (+ z z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 1/3 binary64))
Calls

13 calls:

5.0ms
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
2.0ms
(*.f64 y #s(literal 27 binary64))
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
z
2.0ms
x
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 229 to 181 computations (21% saved)

derivations6.0ms (0.1%)

Memory
-42.5MiB live, 3.7MiB allocated; 4ms collecting garbage
Stop Event
done
Compiler

Compiled 23 to 19 computations (17.4% saved)

preprocess12.0ms (0.3%)

Memory
25.2MiB live, 25.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 42 to 37 computations (11.9% saved)

end0.0ms (0%)

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

Profiling

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