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

Time bar (total: 5.1s)

start0.0ms (0%)

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

analyze506.0ms (9.9%)

Memory
-29.6MiB live, 567.9MiB allocated; 210ms 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)

sample4.1s (80.4%)

Memory
108.9MiB live, 5 826.9MiB allocated; 1.7s collecting garbage
Samples
1.6s15 583×0invalid
960.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-mult!: 731.0ms (43.9% of total)
ival-div!: 392.0ms (23.6% of total)
ival-acos: 297.0ms (17.8% of total)
ival-sqrt: 240.0ms (14.4% of total)
adjust: 4.0ms (0.2% of total)
Bogosity

preprocess68.0ms (1.3%)

Memory
-20.7MiB live, 33.3MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092263
1365227
21619227
37658227
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Symmetry

(sort y z)

Compiler

Compiled 38 to 36 computations (5.3% saved)

series35.0ms (0.7%)

Memory
35.5MiB live, 81.8MiB allocated; 5ms collecting garbage
Counts
18 → 17
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
(/.f64 x (*.f64 y #s(literal 27 binary64)))
x
(*.f64 y #s(literal 27 binary64))
y
#s(literal 27 binary64)
(*.f64 z #s(literal 2 binary64))
z
#s(literal 2 binary64)
(sqrt.f64 t)
t
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (* 3 (/ x (* y 27))) (* z 2)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* 3 (/ x (* y 27))) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x (* y 27)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx x #s(hole binary64 x))
#s(approx (* y 27) #s(hole binary64 (* 27 y)))
#s(approx y #s(hole binary64 y))
#s(approx (* z 2) #s(hole binary64 (* 2 z)))
#s(approx z #s(hole binary64 z))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
Calls

12 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
4.0ms
t
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
4.0ms
y
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
4.0ms
x
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)
3.0ms
x
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (/ 1 3) 1 3 (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t))) (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)) (/ (* 3 (/ x (* y 27))) (* z 2)) (* 3 (/ x (* y 27))) (/ x (* y 27)) x (* y 27) y 27 (* z 2) z 2 (sqrt t) t)

rewrite34.0ms (0.7%)

Memory
-19.3MiB live, 71.1MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval4.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Compiler

Compiled 392 to 217 computations (44.6% saved)

prune2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New38240
Fresh000
Picked101
Done000
Total39241
Accuracy
98.5%
Counts
41 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))
97.3%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Compiler

Compiled 44 to 44 computations (0% saved)

series121.0ms (2.4%)

Memory
-25.5MiB live, 60.6MiB allocated; 89ms collecting garbage
Counts
24 → 21
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
#s(literal 3 binary64)
(+.f64 z z)
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (/ x (* 27 y)) 3) (+ z z)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (/ x (* 27 y)) 3) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx z #s(hole binary64 z))
#s(approx (+ z z) #s(hole binary64 (* 2 z)))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
Calls

12 calls:

TimeVariablePointExpression
95.0ms
y
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z))
5.0ms
y
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z))
3.0ms
y
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z))
2.0ms
x
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z))
2.0ms
z
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (* (* 1/18 (sqrt t)) (/ x (* z y))) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ x (* z y)) x (* z y) z y 1/3 (* (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) 1/3) (acos (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z)))) (* (sqrt t) (/ (* (/ x (* 27 y)) 3) (+ z z))) (/ (* (/ x (* 27 y)) 3) (+ z z)) (* (/ x (* 27 y)) 3) (/ x (* 27 y)) (* 27 y) 27 3 (+ z z))

rewrite33.0ms (0.6%)

Memory
-37.2MiB live, 63.5MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094454
0118438
0269438
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
45 → 78
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
z
y
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) y)
#s(literal 27 binary64)
#s(literal 3 binary64)
(+.f64 z z)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ x (* z y)) #s(hole binary64 (/ x (* y z))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (* (/ x (* 27 y)) 3) (+ z z)) #s(hole binary64 (* 1/18 (/ x (* y z)))))
#s(approx (* (/ x (* 27 y)) 3) #s(hole binary64 (* 1/9 (/ x y))))
#s(approx (/ x (* 27 y)) #s(hole binary64 (* 1/27 (/ x y))))
#s(approx (* z y) #s(hole binary64 (* y z)))
#s(approx y #s(hole binary64 y))
#s(approx (* 27 y) #s(hole binary64 (* 27 y)))
#s(approx z #s(hole binary64 z))
#s(approx (+ z z) #s(hole binary64 (* 2 z)))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
t
(/.f64 (/.f64 x z) y)
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
x
(*.f64 z y)
(*.f64 y z)
z
y
#s(literal 1/3 binary64)
(*.f64 (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z))))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))) (+.f64 z z))
(/.f64 (*.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (sqrt.f64 t)) (+.f64 z z))
(*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 2 binary64)))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (/.f64 #s(literal 3 binary64) (+.f64 z z)))
(*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) (+.f64 z z)))
(/.f64 (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) z) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))) (neg.f64 (+.f64 z z)))
(/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z))
(*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 #s(literal 27 binary64) y)))
(/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 27 binary64) y))
(/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) y))
(/.f64 (/.f64 x #s(literal 27 binary64)) y)
(/.f64 (neg.f64 x) (neg.f64 (*.f64 #s(literal 27 binary64) y)))
(/.f64 (/.f64 x y) #s(literal 27 binary64))
(/.f64 x (*.f64 #s(literal 27 binary64) y))
(*.f64 #s(literal 27 binary64) y)
(*.f64 y #s(literal 27 binary64))
#s(literal 27 binary64)
#s(literal 3 binary64)
(*.f64 #s(literal 2 binary64) z)
(*.f64 z #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 z z) (*.f64 z z)) (-.f64 z z))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 z z) (*.f64 z z))))
(+.f64 z z)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
#s(approx (/ x (* z y)) (/.f64 x (*.f64 z y)))
#s(approx x x)
#s(approx (/ (* (/ x (* 27 y)) 3) (+ z z)) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))
#s(approx (* (/ x (* 27 y)) 3) (*.f64 (/.f64 x y) #s(literal 1/9 binary64)))
#s(approx (/ x (* 27 y)) (*.f64 #s(literal 1/27 binary64) (/.f64 x y)))
#s(approx (* z y) (*.f64 z y))
#s(approx y y)
#s(approx (* 27 y) (*.f64 #s(literal 27 binary64) y))
#s(approx z z)
#s(approx (+ z z) (+.f64 z z))
#s(approx (* 1/18 (sqrt t)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ x (* z y)))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))
#s(approx (* (* 1/18 (sqrt t)) (/ x (* z y))) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (* 1/18 (sqrt t)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) #s(literal -1/18 binary64)))
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t))))

eval6.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 580 to 369 computations (36.4% saved)

prune3.0ms (0.1%)

Memory
12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New62163
Fresh000
Picked112
Done000
Total63265
Accuracy
98.5%
Counts
65 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
97.3%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Compiler

Compiled 56 to 56 computations (0% saved)

series19.0ms (0.4%)

Memory
3.7MiB live, 50.2MiB allocated; 4ms collecting garbage
Counts
14 → 16
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
#s(literal 1/3 binary64)
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (/ x z) y) #s(hole binary64 (/ x (* y z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
Calls

12 calls:

TimeVariablePointExpression
4.0ms
x
@0
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3)
2.0ms
x
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3)
2.0ms
x
@inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3)
2.0ms
t
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3)
1.0ms
z
@-inf
((* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (* (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) 1/3) (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (* 1/18 (sqrt t)) 1/18 (sqrt t) t (/ (/ x z) y) (/ x z) x z y 1/3)

rewrite28.0ms (0.6%)

Memory
-32.4MiB live, 63.5MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069320
082304
0188304
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
30 → 43
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ x (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ x (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* 1/18 (* (sqrt t) (/ x (* y z))))))
#s(approx (/ (/ x z) y) #s(hole binary64 (/ x (* y z))))
#s(approx (/ x z) #s(hole binary64 (/ x z)))
#s(approx x #s(hole binary64 x))
#s(approx y #s(hole binary64 y))
#s(approx z #s(hole binary64 z))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* 1/18 (sqrt t))))
#s(approx (sqrt t) #s(hole binary64 (sqrt t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) #s(hole binary64 (* 1/3 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) #s(hole binary64 (acos (* 1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z)))))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) #s(hole binary64 (* -1/18 (* (sqrt t) (/ (* x (pow (sqrt -1) 2)) (* y z))))))
#s(approx (* 1/18 (sqrt t)) #s(hole binary64 (* -1/18 (* (sqrt t) (pow (sqrt -1) 2)))))
#s(approx (sqrt t) #s(hole binary64 (* -1 (* (sqrt t) (pow (sqrt -1) 2)))))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x z)) y)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(pow.f64 t #s(literal 1/2 binary64))
(sqrt.f64 t)
t
(/.f64 (/.f64 x y) z)
(/.f64 (neg.f64 (/.f64 x z)) (neg.f64 y))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 z y)))
(/.f64 (/.f64 x z) y)
(/.f64 x (*.f64 z y))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
x
z
y
#s(literal 1/3 binary64)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
#s(approx (/ (/ x z) y) (/.f64 x (*.f64 z y)))
#s(approx (/ x z) (/.f64 x z))
#s(approx x x)
#s(approx y y)
#s(approx z z)
#s(approx (* 1/18 (sqrt t)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
#s(approx (sqrt t) (sqrt.f64 t))
#s(approx t t)
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))) #s(literal 1/3 binary64)))
#s(approx (acos (* (* 1/18 (sqrt t)) (/ (/ x z) y))) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))))))
#s(approx (* (* 1/18 (sqrt t)) (/ (/ x z) y)) (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y)))))
#s(approx (* 1/18 (sqrt t)) (*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t)) #s(literal -1/18 binary64)))
#s(approx (sqrt t) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 t))))

eval3.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 316 to 185 computations (41.5% saved)

prune3.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New30030
Fresh000
Picked011
Done011
Total30232
Accuracy
98.5%
Counts
32 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
97.3%
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
Compiler

Compiled 114 to 111 computations (2.6% saved)

regimes35.0ms (0.7%)

Memory
-15.3MiB live, 73.0MiB allocated; 15ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
Outputs
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 (/.f64 x (*.f64 #s(literal 27 binary64) y)) #s(literal 3 binary64)) (+.f64 z z)))) #s(literal 1/3 binary64))
Calls

13 calls:

8.0ms
z
8.0ms
(*.f64 y #s(literal 27 binary64))
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
98.5%1(sqrt.f64 t)
98.5%1(*.f64 z #s(literal 2 binary64))
98.5%1(*.f64 y #s(literal 27 binary64))
98.5%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.5%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.5%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.5%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))
98.5%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)))
98.5%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))))
98.5%1x
98.5%1y
98.5%1z
98.5%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

regimes26.0ms (0.5%)

Memory
-1.2MiB live, 50.9MiB allocated; 13ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1/3 binary64)))
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
Outputs
#s(approx (* (/ 1 3) (acos (* (/ (* 3 (/ x (* y 27))) (* z 2)) (sqrt t)))) (*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y))) #s(literal 1/3 binary64)))
Calls

13 calls:

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

Compiled 83 to 108 computations (-30.1% saved)

regimes17.0ms (0.3%)

Memory
-1.2MiB live, 42.1MiB allocated; 5ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

13 calls:

5.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
1.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
1.0ms
(*.f64 y #s(literal 27 binary64))
1.0ms
(sqrt.f64 t)
1.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
97.3%1(sqrt.f64 t)
97.3%1(*.f64 z #s(literal 2 binary64))
97.3%1(*.f64 y #s(literal 27 binary64))
97.3%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
97.3%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
97.3%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
97.3%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))
97.3%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)))
97.3%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))))
97.3%1x
97.3%1y
97.3%1z
97.3%1t
Compiler

Compiled 83 to 108 computations (-30.1% saved)

derivations5.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 45 to 44 computations (2.2% saved)

preprocess55.0ms (1.1%)

Memory
9.7MiB live, 84.3MiB allocated; 29ms collecting garbage
Remove

(sort y z)

Compiler

Compiled 208 to 206 computations (1% saved)

end0.0ms (0%)

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

Profiling

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