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

Time bar (total: 6.3s)

start0.0ms (0.0%)

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

analyze386.0ms (6.2%)

Memory
-5.1MiB live, 657.7MiB allocated; 148ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%99.8%0.2%0.0%0.0%0.0%0
0.0%0.0%99.8%0.2%0.0%0.0%0.0%1
0.0%0.0%99.8%0.2%0.0%0.0%0.0%2
0.0%0.0%99.8%0.2%0.0%0.0%0.0%3
0.0%0.0%99.8%0.2%0.0%0.0%0.0%4
0.0%0.0%99.8%0.2%0.0%0.0%0.0%5
0.0%0.0%99.8%0.2%0.0%0.0%0.0%6
0.0%0.0%99.8%0.2%0.0%0.0%0.0%7
0.0%0.0%99.8%0.2%0.0%0.0%0.0%8
4.2%3.1%71.7%0.2%0.0%25.0%0.0%9
4.2%3.1%71.3%0.2%0.0%25.3%0.0%10
6.3%4.7%69.2%0.2%0.0%25.9%0.0%11
9.2%6.6%65.8%0.2%0.0%27.4%0.0%12
Compiler

Compiled 21 to 20 computations (4.8% saved)

sample4.8s (76.3%)

Memory
61.5MiB live, 6 697.8MiB allocated; 2.8s collecting garbage
Samples
3.0s15 780×0invalid
719.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-div!: 1.2s (53.4% of total)
ival-mult!: 680.0ms (29.2% of total)
ival-sqrt: 218.0ms (9.3% of total)
ival-acos: 185.0ms (7.9% of total)
adjust: 4.0ms (0.2% of total)
Bogosity

preprocess46.0ms (0.7%)

Memory
1.0MiB live, 99.9MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092263
1401227
22127227
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)

sample0.0ms (0.0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1
3
(/ 1 3)
27
2
Outputs
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 27 binary64)
#s(literal 2 binary64)
Samples
0.0ms0valid
Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series62.0ms (1.0%)

Memory
-10.1MiB live, 131.8MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063235
Stop Event
iter-limit
Counts
18 → 17
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
x
y
#s(literal 27 binary64)
(*.f64 y #s(literal 27 binary64))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
z
#s(literal 2 binary64)
(*.f64 z #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
t
(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))
(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)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
#s(approx x x)
#s(approx (/ x (* y 27)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx (* 3 (/ x (* y 27))) (*.f64 #s(literal 1/9 binary64) (/.f64 x y)))
#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))) (* z 2)) (sqrt t)) (*.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 (* (/ 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 y y)
#s(approx (* y 27) (*.f64 #s(literal 27 binary64) y))
#s(approx z z)
#s(approx (* z 2) (*.f64 #s(literal 2 binary64) z))
#s(approx t t)
#s(approx (sqrt t) (sqrt.f64 t))
#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)))))
#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))))
Calls

12 calls:

TimeVariablePoint
20.0ms
x
0
5.0ms
z
inf
5.0ms
y
inf
4.0ms
x
-inf
4.0ms
x
inf

rewrite141.0ms (2.3%)

Memory
-4.8MiB live, 428.4MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01886
02986
17276
236968
3271568
0413168
Stop Event
iter-limit
node-limit
iter-limit
Counts
18 → 634
Calls
Call 1
Inputs
#s(literal 1 binary64)
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
x
y
#s(literal 27 binary64)
(*.f64 y #s(literal 27 binary64))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
z
#s(literal 2 binary64)
(*.f64 z #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
t
(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))
(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)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(literal 1/3 binary64)
x
y
#s(literal 27 binary64)
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 27 binary64))
(*.f64 (neg.f64 y) #s(literal -27 binary64))
(*.f64 #s(literal -27 binary64) (neg.f64 y))
(*.f64 #s(literal 27 binary64) (neg.f64 (neg.f64 y)))
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
(neg.f64 (*.f64 #s(literal -27 binary64) y))
(*.f64 #s(literal 1/27 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal -1/27 binary64) y) (neg.f64 x))
(*.f64 (*.f64 x #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/27 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 -1/27 binary64) y))
(*.f64 x (/.f64 #s(literal 1/27 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1/27 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/27 binary64) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (neg.f64 (/.f64 x #s(literal -27 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64))) #s(literal -27 binary64))
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (*.f64 #s(literal 27 binary64) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 27 binary64) y))
(/.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/27 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/27 binary64) x) y)
(/.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -27 binary64) y))
(/.f64 (/.f64 x #s(literal -27 binary64)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 27 binary64))
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/27 binary64))) (neg.f64 y))
(/.f64 (*.f64 x #s(literal 1/27 binary64)) y)
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -27 binary64))
(/.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 y (*.f64 x #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -27 binary64) (/.f64 (neg.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -27 binary64) y) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) x))
(neg.f64 (*.f64 (/.f64 x y) #s(literal -1/27 binary64)))
(*.f64 (*.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 x #s(literal -27 binary64)))
(*.f64 (/.f64 x #s(literal -27 binary64)) (/.f64 #s(literal -3 binary64) y))
(*.f64 #s(literal -1/9 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal 1/9 binary64) y) x)
(*.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/27 binary64))
(*.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 #s(literal 1/9 binary64) (/.f64 x y))
(*.f64 (*.f64 x #s(literal 1/27 binary64)) (/.f64 #s(literal 3 binary64) y))
(*.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 3 binary64) y) (*.f64 x #s(literal 1/27 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) x) (/.f64 #s(literal -1/27 binary64) y))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/27 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (/.f64 x y) #s(literal -1/27 binary64)))
(*.f64 (/.f64 (neg.f64 x) y) #s(literal -1/9 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1/27 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1/9 binary64))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (*.f64 x #s(literal 3 binary64)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1/27 binary64) y) #s(literal 3 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -3 binary64) (*.f64 #s(literal 27 binary64) y)))
(*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) x) #s(literal 1 binary64))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))
(*.f64 x (*.f64 (/.f64 #s(literal 1/9 binary64) y) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 1/9 binary64) y))
(*.f64 #s(literal 3 binary64) (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) y) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) (neg.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/9 binary64) x)) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x)) #s(literal -27 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 27 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) y)) #s(literal 27 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (neg.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal -54 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 2 binary64))) (neg.f64 (*.f64 y #s(literal -54 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x #s(literal 1/9 binary64)))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)))) #s(literal 27 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x))) (*.f64 #s(literal -27 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) (*.f64 y #s(literal -54 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 27 binary64) y))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 x) y))) #s(literal 27 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -27 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))) (*.f64 #s(literal 27 binary64) y))
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 3 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64))) #s(literal 27 binary64))
(/.f64 (*.f64 #s(literal 1/9 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1/9 binary64) x) y)
(/.f64 (*.f64 (/.f64 #s(literal 3 binary64) y) x) #s(literal 27 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 27 binary64)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal -3 binary64) x) y) #s(literal -27 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 x) y)) #s(literal -27 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 27 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 1 binary64)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 3 binary64)) y)
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64)) #s(literal -27 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 54 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) (*.f64 y #s(literal -54 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 y #s(literal 54 binary64)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/9 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64))) #s(literal -27 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (*.f64 x #s(literal 1/9 binary64)) y)
(/.f64 (*.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 27 binary64))
(/.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 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 27 binary64) (*.f64 (/.f64 x y) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -27 binary64) y) (*.f64 #s(literal -3 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 27 binary64) y) (*.f64 x #s(literal 3 binary64))))
(neg.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)))
(fma.f64 (*.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) y) x)))
(fma.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 x #s(literal -27 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -3 binary64) y) (/.f64 x #s(literal -27 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) y) x)))
(fma.f64 (/.f64 x #s(literal -27 binary64)) (/.f64 #s(literal -3 binary64) y) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 x #s(literal -27 binary64)) (/.f64 #s(literal -3 binary64) y) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) y) x)))
(fma.f64 #s(literal -1/9 binary64) (/.f64 (neg.f64 x) y) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) x) #s(literal 0 binary64)))
(fma.f64 #s(literal -1/9 binary64) (/.f64 (neg.f64 x) y) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) y) x)))
(fma.f64 (/.f64 #s(literal 1/9 binary64) y) x (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) x) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1/9 binary64) y) x (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) y) x)))
(fma.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) y) x) #s(literal 0 binary64)))
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(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t))) (*.f64 (*.f64 y #s(literal -54 binary64)) z))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (sqrt.f64 t)) (*.f64 (*.f64 y #s(literal 54 binary64)) z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3/2 binary64))) z)
(/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)) (sqrt.f64 t)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y)) (+.f64 z z))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/9 binary64)) (*.f64 z y)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z z) (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/9 binary64)) (/.f64 x y))))
(neg.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z))))
(neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (+.f64 z z)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))) (*.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))) (*.f64 (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (-.f64 (*.f64 (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (fma.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))))
(neg.f64 (neg.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(-.f64 (PI.f64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x y)) (sqrt.f64 t)) (+.f64 z z))))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(+.f64 (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(neg.f64 (*.f64 (neg.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 1/3 binary64)))

eval95.0ms (1.5%)

Memory
42.8MiB live, 181.9MiB allocated; 23ms collecting garbage
Compiler

Compiled 12 908 to 3 199 computations (75.2% saved)

prune12.0ms (0.2%)

Memory
-1.7MiB live, 43.8MiB allocated; 7ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New6362638
Fresh000
Picked101
Done000
Total6372639
Accuracy
98.5%
Counts
639 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
96.6%
#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 46 to 41 computations (10.9% saved)

sample0.0ms (0.0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/3
1/18
Outputs
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 2001599834386887/36028797018963968 binary64)
Samples
0.0ms0valid
Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series33.0ms (0.5%)

Memory
-15.4MiB live, 127.4MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054296
Stop Event
iter-limit
Counts
20 → 22
Calls
Call 1
Inputs
x
y
z
t
#s(literal 1/3 binary64)
#s(literal 1/18 binary64)
(sqrt.f64 t)
(*.f64 x (sqrt.f64 t))
(*.f64 y z)
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))
(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(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 x y)
(/.f64 (/.f64 x y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Outputs
#s(approx x x)
#s(approx (* x (sqrt t)) (*.f64 x (sqrt.f64 t)))
#s(approx (/ (* x (sqrt t)) (* y z)) (/.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 (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 (* 1/3 (acos (* 1/18 (/ (* x (sqrt t)) (* 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(approx (/ x y) (/.f64 x y))
#s(approx (/ (/ x y) z) (/.f64 x (*.f64 y z)))
#s(approx (* 1/18 (/ (/ x y) z)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
#s(approx y y)
#s(approx (* y z) (*.f64 y z))
#s(approx z z)
#s(approx t t)
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx (sqrt t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
#s(approx (* x (sqrt t)) (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#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 (* 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 (sqrt t) (*.f64 #s(literal -1 binary64) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (* x (sqrt t)) (*.f64 #s(literal -1 binary64) (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))))
#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 (* 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))))
Calls

12 calls:

TimeVariablePoint
5.0ms
t
0
4.0ms
y
-inf
3.0ms
x
0
3.0ms
x
-inf
2.0ms
x
inf

rewrite156.0ms (2.5%)

Memory
-39.5MiB live, 272.9MiB allocated; 115ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034137
047137
1133135
2654133
04055133
Stop Event
iter-limit
node-limit
iter-limit
Counts
20 → 841
Calls
Call 1
Inputs
x
y
z
t
#s(literal 1/3 binary64)
#s(literal 1/18 binary64)
(sqrt.f64 t)
(*.f64 x (sqrt.f64 t))
(*.f64 y z)
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))
(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(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 x y)
(/.f64 (/.f64 x y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Outputs
x
y
z
t
#s(literal 1/3 binary64)
#s(literal 1/18 binary64)
(*.f64 (sqrt.f64 (sqrt.f64 t)) (sqrt.f64 (sqrt.f64 t)))
(*.f64 (pow.f64 t (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 t (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
(fabs.f64 (neg.f64 (neg.f64 (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)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 t))) x)
(*.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 x))
(*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 t)))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) x)
(*.f64 x (*.f64 (sqrt.f64 t) #s(literal 1 binary64)))
(*.f64 x (neg.f64 (neg.f64 (sqrt.f64 t))))
(*.f64 x (sqrt.f64 t))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 t) x))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 t)))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 t))) x (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 t))) x (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x)))
(fma.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 t)) (neg.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x)))
(fma.f64 (neg.f64 x) (neg.f64 (sqrt.f64 t)) (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 (sqrt.f64 t)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x)))
(fma.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x)))
(fma.f64 (sqrt.f64 t) x (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 t) x (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x)))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 0 binary64)))
(fma.f64 x (*.f64 (sqrt.f64 t) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x)))
(fma.f64 x (neg.f64 (neg.f64 (sqrt.f64 t))) (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 0 binary64)))
(fma.f64 x (neg.f64 (neg.f64 (sqrt.f64 t))) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) x)))
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(+.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))
(*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))
(neg.f64 (*.f64 (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (asin.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))) #s(literal 1/3 binary64)))

eval94.0ms (1.5%)

Memory
12.8MiB live, 202.4MiB allocated; 20ms collecting garbage
Compiler

Compiled 17 408 to 3 387 computations (80.5% saved)

prune24.0ms (0.4%)

Memory
4.3MiB live, 51.7MiB allocated; 2ms collecting garbage
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New6412643
Fresh000
Picked202
Done-110
Total6423645
Accuracy
98.5%
Counts
645 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
97.9%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
97.2%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64)) (*.f64 (sqrt.f64 t) #s(literal 3 binary64))))))
Compiler

Compiled 61 to 56 computations (8.2% saved)

sample0.0ms (0.0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
1/3
1/54
3
1/18
Outputs
#s(literal 6004799503160661/18014398509481984 binary64)
#s(literal 667199944795629/36028797018963968 binary64)
#s(literal 3 binary64)
#s(literal 2001599834386887/36028797018963968 binary64)
Samples
0.0ms0valid
Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total)

series29.0ms (0.5%)

Memory
-14.1MiB live, 80.8MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063258
Stop Event
iter-limit
Counts
22 → 20
Calls
Call 1
Inputs
x
y
z
t
#s(literal 1/3 binary64)
(*.f64 z y)
(/.f64 x (*.f64 z y))
#s(literal 1/54 binary64)
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64))
(sqrt.f64 t)
#s(literal 3 binary64)
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64)) (*.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64)) (*.f64 (sqrt.f64 t) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64)) (*.f64 (sqrt.f64 t) #s(literal 3 binary64)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64)) (*.f64 (sqrt.f64 t) #s(literal 3 binary64))))))
#s(literal 1/18 binary64)
(*.f64 #s(literal 1/18 binary64) x)
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
Outputs
#s(approx x x)
#s(approx (/ x (* z y)) (/.f64 x (*.f64 y z)))
#s(approx (* (/ x (* z y)) 1/54) (*.f64 #s(literal 1/54 binary64) (/.f64 x (*.f64 y z))))
#s(approx (* (* (/ x (* z y)) 1/54) (* (sqrt t) 3)) (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z))))
#s(approx (acos (* (* (/ x (* z y)) 1/54) (* (sqrt t) 3))) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 y z)))))
#s(approx (* 1/3 (acos (* (* (/ x (* z y)) 1/54) (* (sqrt t) 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 (* 1/18 x) (*.f64 #s(literal 1/18 binary64) x))
#s(approx (/ (* 1/18 x) (* z y)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
#s(approx y y)
#s(approx (* z y) (*.f64 y z))
#s(approx z z)
#s(approx t t)
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx (* (sqrt t) 3) (*.f64 #s(literal 3 binary64) (sqrt.f64 t)))
#s(approx (sqrt t) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
#s(approx (* (sqrt t) 3) (*.f64 #s(literal 3 binary64) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (* (* (/ x (* z y)) 1/54) (* (sqrt t) 3)) (*.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)))))
#s(approx (* (sqrt t) 3) (*.f64 #s(literal -3 binary64) (*.f64 t (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
#s(approx (* (* (/ x (* z y)) 1/54) (* (sqrt t) 3)) (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 t (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (*.f64 y z))))
Calls

12 calls:

TimeVariablePoint
5.0ms
y
0
3.0ms
t
-inf
2.0ms
x
-inf
2.0ms
y
-inf
2.0ms
x
inf

rewrite162.0ms (2.6%)

Memory
11.6MiB live, 487.7MiB allocated; 93ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035146
048152
1129136
2637134
04115134
Stop Event
iter-limit
node-limit
iter-limit
Counts
22 → 918
Calls
Call 1
Inputs
x
y
z
t
#s(literal 1/3 binary64)
(*.f64 z y)
(/.f64 x (*.f64 z y))
#s(literal 1/54 binary64)
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64))
(sqrt.f64 t)
#s(literal 3 binary64)
(*.f64 (sqrt.f64 t) #s(literal 3 binary64))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64)) (*.f64 (sqrt.f64 t) #s(literal 3 binary64)))
(acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64)) (*.f64 (sqrt.f64 t) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64)) (*.f64 (sqrt.f64 t) #s(literal 3 binary64)))))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64)) (*.f64 (sqrt.f64 t) #s(literal 3 binary64))))))
#s(literal 1/18 binary64)
(*.f64 #s(literal 1/18 binary64) x)
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
Outputs
x
y
z
t
#s(literal 1/3 binary64)
(*.f64 (neg.f64 (neg.f64 z)) y)
(*.f64 (neg.f64 (neg.f64 y)) z)
(*.f64 (neg.f64 y) (neg.f64 z))
(*.f64 (neg.f64 z) (neg.f64 y))
(*.f64 z (neg.f64 (neg.f64 y)))
(*.f64 z y)
(*.f64 y (neg.f64 (neg.f64 z)))
(*.f64 y z)
(neg.f64 (*.f64 (neg.f64 y) z))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (neg.f64 x))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) x)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z y)))
(/.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) y)
(/.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 y) z))
(/.f64 (/.f64 (neg.f64 x) z) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (/.f64 x z) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x z) y)
(/.f64 (/.f64 x y) z)
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) z))
(/.f64 x (*.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (/.f64 (neg.f64 x) z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 y) z) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) x))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 z y)))
#s(literal 1/54 binary64)
(*.f64 (*.f64 (*.f64 #s(literal 1/54 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 (/.f64 #s(literal 1/54 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 #s(literal 1/54 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) y))
(*.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1/27 binary64) y) z))
(*.f64 (/.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/27 binary64) z))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(literal 1/54 binary64) (neg.f64 y)))
(*.f64 (/.f64 (neg.f64 x) z) (/.f64 (/.f64 #s(literal -1/27 binary64) y) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/54 binary64) (*.f64 z y)) x)
(*.f64 (*.f64 (/.f64 x z) #s(literal 1/54 binary64)) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1/54 binary64) (/.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 y (+.f64 z z))) x)
(*.f64 (*.f64 x #s(literal 1/27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 z z)))
(*.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 z y)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/27 binary64) (*.f64 z y)))
(*.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 1/2 binary64)) (/.f64 x z))
(*.f64 (*.f64 x (/.f64 #s(literal 1/27 binary64) (*.f64 z y))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/54 binary64) y) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1/54 binary64) z) (/.f64 x y))
(*.f64 (*.f64 #s(literal -1/54 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(*.f64 (*.f64 (/.f64 x y) #s(literal -1/27 binary64)) (/.f64 #s(literal -1/2 binary64) z))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/54 binary64) (neg.f64 z)))
(*.f64 (*.f64 #s(literal 1/54 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/54 binary64)))
(*.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/54 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 #s(literal 1/54 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 x (*.f64 #s(literal 27 binary64) y)))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (*.f64 x (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 (/.f64 #s(literal 1/27 binary64) y) (/.f64 x (+.f64 z z)))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/27 binary64) (+.f64 z z)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 54 binary64) z)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/54 binary64) z))
(*.f64 (*.f64 (/.f64 x y) #s(literal 1/54 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal 1/54 binary64)))
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1/27 binary64) y) (/.f64 #s(literal 1/2 binary64) z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1/54 binary64) (*.f64 (neg.f64 y) z)))
(*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1/27 binary64) y) (+.f64 z z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal -54 binary64)) z)))
(*.f64 #s(literal 1/54 binary64) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 1/2 binary64) z))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/54 binary64) y)))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1/54 binary64) z)))
(*.f64 x (/.f64 #s(literal 1/54 binary64) (*.f64 z y)))
(*.f64 x (/.f64 #s(literal 1/27 binary64) (*.f64 y (+.f64 z z))))
(/.f64 (*.f64 (*.f64 #s(literal 1/54 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 #s(literal 1/54 binary64) x) #s(literal 1 binary64)) (*.f64 z y))
(/.f64 (*.f64 #s(literal 1/54 binary64) (/.f64 (neg.f64 x) z)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/27 binary64) y)) z)
(/.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/27 binary64) y)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal -1 binary64)) (*.f64 #s(literal -2 binary64) z))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 1 binary64)) (+.f64 z z))
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/54 binary64) y)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/54 binary64) z)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(literal 1/54 binary64)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/27 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) (/.f64 #s(literal 1/2 binary64) z)) y)
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1/2 binary64) z)) #s(literal -27 binary64))
(/.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/2 binary64) z)) #s(literal 27 binary64))
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal -27 binary64) y))
(/.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) z)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 (*.f64 #s(literal -1/54 binary64) x) z) (neg.f64 y))
(/.f64 (/.f64 (*.f64 #s(literal -1/54 binary64) x) y) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/27 binary64)) z) #s(literal -2 binary64))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal -1/27 binary64)) #s(literal 2 binary64)) (neg.f64 z))
(/.f64 (/.f64 (neg.f64 x) z) (*.f64 y #s(literal -54 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal -1 binary64)) (*.f64 y (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 1/2 binary64)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 x #s(literal 1/27 binary64)) #s(literal 1 binary64)) (*.f64 y (+.f64 z z)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) z)) #s(literal -54 binary64))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64)) (*.f64 #s(literal -27 binary64) (*.f64 #s(literal -2 binary64) z)))
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) #s(literal 1/2 binary64)) (*.f64 #s(literal -27 binary64) z))
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(fma.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 1 binary64)) (asin.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(fma.f64 (neg.f64 (PI.f64)) #s(literal -1/2 binary64) (asin.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)) (asin.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(fma.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (/.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (asin.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(+.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) (*.f64 #s(literal 1/2 binary64) (PI.f64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(*.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(neg.f64 (*.f64 (neg.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 1/3 binary64)))
(neg.f64 (*.f64 #s(literal 1/3 binary64) (neg.f64 (acos.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64) (*.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64)) (*.f64 #s(literal 1/3 binary64) (asin.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (PI.f64))) (*.f64 #s(literal 1/3 binary64) (asin.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (asin.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 1/3 binary64)))

eval86.0ms (1.4%)

Memory
17.1MiB live, 202.8MiB allocated; 20ms collecting garbage
Compiler

Compiled 20 114 to 3 727 computations (81.5% saved)

prune22.0ms (0.4%)

Memory
-4.5MiB live, 45.2MiB allocated; 10ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New7160716
Fresh000
Picked202
Done-231
Total7163719
Accuracy
98.5%
Counts
719 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
97.9%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
97.2%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64)) (*.f64 (sqrt.f64 t) #s(literal 3 binary64))))))
Compiler

Compiled 61 to 56 computations (8.2% saved)

regimes77.0ms (1.2%)

Memory
11.3MiB live, 202.4MiB allocated; 9ms collecting garbage
Counts
1 → 1
2 → 1
5 → 1
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))))))
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))))))
Call 2
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 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
Call 3
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 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/54 binary64)) (*.f64 (sqrt.f64 t) #s(literal 3 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
Calls

39 calls:

4.0ms
y
3.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
3.0ms
z
3.0ms
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
2.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
96.6%1(sqrt.f64 t)
96.6%1(*.f64 z #s(literal 2 binary64))
96.6%1(*.f64 y #s(literal 27 binary64))
96.6%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
96.6%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
96.6%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
96.6%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
96.6%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
96.6%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
96.6%1x
96.6%1y
96.6%1z
96.6%1t
97.2%1(sqrt.f64 t)
97.2%1(*.f64 z #s(literal 2 binary64))
97.2%1(*.f64 y #s(literal 27 binary64))
97.2%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
97.2%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
97.2%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
97.2%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
97.2%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
97.2%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
97.2%1x
97.2%1y
97.2%1z
97.2%1t
97.9%1(sqrt.f64 t)
97.9%1(*.f64 z #s(literal 2 binary64))
97.9%1(*.f64 y #s(literal 27 binary64))
97.9%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
97.9%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
97.9%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
97.9%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
97.9%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
97.9%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
97.9%1x
97.9%1y
97.9%1z
97.9%1t
Compiler

Compiled 362 to 385 computations (-6.4% saved)

derivations33.0ms (0.5%)

Memory
-17.6MiB live, 29.5MiB allocated; 1ms collecting garbage
Stop Event
done
Compiler

Compiled 59 to 40 computations (32.2% saved)

preprocess23.0ms (0.4%)

Memory
5.0MiB live, 51.2MiB allocated; 4ms collecting garbage
Compiler

Compiled 78 to 58 computations (25.6% saved)

end0.0ms (0.0%)

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

Profiling

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