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

Time bar (total: 13.3s)

analyze559.0ms (4.2%)

Algorithm
1×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 24 to 19 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 332.0ms
ival-mult: 214.0ms (64.4% of total)
ival-div: 63.0ms (19% of total)
ival-sqrt: 24.0ms (7.2% of total)
ival-acos: 23.0ms (6.9% of total)
const: 7.0ms (2.1% of total)
backward-pass: 1.0ms (0.3% of total)

sample5.6s (41.9%)

Results
3.0s15061×0invalid
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-mult: 1.0s (41.6% of total)
ival-div: 863.0ms (34.7% of total)
ival-sqrt: 345.0ms (13.9% of total)
ival-acos: 177.0ms (7.1% of total)
const: 62.0ms (2.5% of total)
backward-pass: 6.0ms (0.2% of total)
Bogosity

preprocess258.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
694×fma-define
446×div-sub
434×associate-*l/
422×unsub-neg
344×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01001040
1292920
2999824
33700824
44379824
55515824
67072824
Stop Event
1×node limit
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 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (neg.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 (neg.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 (neg.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 (neg.f64 t)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 x) (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 (neg.f64 y) #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))))
(neg.f64 (*.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 (neg.f64 z) #s(literal 2 binary64))) (sqrt.f64 t)))))
(neg.f64 (*.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 (neg.f64 t))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 y (*.f64 x #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 z (*.f64 y #s(literal 27 binary64)))) (*.f64 x #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 t (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 z #s(literal 27 binary64)))) (*.f64 y #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 t #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 y))))
(*.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 t #s(literal 2 binary64))) (sqrt.f64 z))))
Outputs
(*.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 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (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))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 x) (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal -3 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 (neg.f64 y) #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal -3 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))))
(*.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 (neg.f64 z) #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal -3 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal -1/18 binary64) (/.f64 (/.f64 x y) z)))))
(*.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 (neg.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 (neg.f64 t)) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 (neg.f64 t)))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 x) (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal -3 binary64) z)))) #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))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 (neg.f64 y) #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal -3 binary64) z)))) #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))
(neg.f64 (*.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 (neg.f64 z) #s(literal 2 binary64))) (sqrt.f64 t)))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 (neg.f64 x) (*.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))))))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) (/.f64 #s(literal -3 binary64) z)))) #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))
(neg.f64 (*.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 (neg.f64 t))))))
(*.f64 #s(literal -1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 t)))))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 (neg.f64 t)) (*.f64 z #s(literal 2 binary64))))) #s(literal -1/3 binary64))
(*.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 (neg.f64 t)))) #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 y (*.f64 x #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) y) (*.f64 x #s(literal 27 binary64))) (sqrt.f64 t)) (*.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 y x) #s(literal 54 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 y x) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 z (*.f64 y #s(literal 27 binary64)))) (*.f64 x #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) z) (*.f64 y #s(literal 27 binary64))) (*.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 3 binary64) x) (*.f64 (/.f64 (/.f64 z y) #s(literal 54 binary64)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 z y) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 t (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 t (*.f64 y #s(literal 27 binary64))) #s(literal 2 binary64))) (sqrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 t y)) (/.f64 (sqrt.f64 x) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 t y) z)) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 z #s(literal 27 binary64)))) (*.f64 y #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x y)) (/.f64 (sqrt.f64 t) (*.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (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 t #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 #s(literal 27 binary64) t)) (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 3 binary64) z) (/.f64 (/.f64 x t) #s(literal 54 binary64))) (sqrt.f64 y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x t) z)) (sqrt.f64 y))))
(*.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 t #s(literal 2 binary64))) (sqrt.f64 z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 x (*.f64 y #s(literal 27 binary64))) (*.f64 #s(literal 2 binary64) t))) (sqrt.f64 z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 3 binary64) (*.f64 (/.f64 (/.f64 (/.f64 x y) #s(literal 54 binary64)) t) (sqrt.f64 z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) t)) (sqrt.f64 z))))
Symmetry

(sort y z)

explain229.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
300-4(-1.4016245937371645e-186 -1.7196991554286672e+130 -5.9219017604041065e-133 1.5544827422014267e+246)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
120-1(-9.191830537908015e-257 -2.753380994060431e+71 -4.5418729318818e-8 3.490913785639605e+54)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
10-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-x
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-(sqrt.f64 t)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-#s(literal 27 binary64)
00-0-y
00-0-(*.f64 y #s(literal 27 binary64))
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-t
Results
135.0ms512×0valid
Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-sqrt: 56.0ms (58.5% of total)
ival-mult: 19.0ms (19.9% of total)
ival-div: 15.0ms (15.7% of total)
ival-acos: 5.0ms (5.2% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 49 to 30 computations (38.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
✓cost-diff0
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Rules
40×associate-*l/
37×associate-*r*
35×associate-*r/
28×associate-*l*
23×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021226
130226
255226
3123226
4200226
5264226
6264226
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
(sqrt.f64 t)
t
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) z))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z) (sqrt.f64 t)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(/.f64 x (*.f64 y z))
(/.f64 x y)
x
y
z
(sqrt.f64 t)
t

localize58.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
✓accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
✓accuracy95.6%
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
✓accuracy90.2%
(/.f64 (/.f64 x y) z)
Results
43.0ms256×0valid
Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 8.0ms (31.2% of total)
...c/correct-round.rkt:121:19: 7.0ms (27.3% of total)
ival-div: 6.0ms (23.4% of total)
ival-sqrt: 2.0ms (7.8% of total)
ival-acos: 2.0ms (7.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.3%)

Counts
5 → 216
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))>
#<alt (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))>
#<alt (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))>
#<alt (/.f64 (/.f64 x y) z)>
Outputs
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
Calls

54 calls:

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

rewrite307.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
782×log1p-expm1-u
782×expm1-log1p-u
712×log-prod
220×expm1-undefine
220×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021187
1249187
23308187
Stop Event
1×node limit
Counts
5 → 150
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(/.f64 (/.f64 x y) z)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 1 binary64)))
(+.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (sqrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(+.f64 #s(literal 0 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
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(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y z)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) z))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 z)))
(pow.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64))
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(neg.f64 (/.f64 (/.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))

simplify348.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
770×fmm-def
587×exp-prod
443×associate-/r*
296×distribute-lft-in
238×cube-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038814975
181814753
2253114739
3699914687
Stop Event
1×node limit
Counts
366 → 203
Calls
Call 1
Inputs
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(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (sqrt.f64 t)) z)
(pow.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(exp.f64 (log.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (neg.f64 y))) (neg.f64 z))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1/18 binary64)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 y z)))) (cbrt.f64 (exp.f64 (/.f64 x (*.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z)))
(*.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) (sqrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) z))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y z)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 z)))
(pow.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (*.f64 z (/.f64 y x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 z)))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 x y) (cbrt.f64 z)))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 x y) (sqrt.f64 z)))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) z))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 z)))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) z))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 z)))
(/.f64 x (*.f64 y z))
(pow.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))
(/.f64 x (*.f64 y z))
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 3 binary64))
(/.f64 x (*.f64 y z))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x (*.f64 y z))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64))
(/.f64 x (*.f64 y z))
(pow.f64 (*.f64 z (/.f64 y x)) #s(literal -1 binary64))
(/.f64 x (*.f64 y z))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 z)))
(/.f64 x (*.f64 y z))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) z))
(/.f64 x (*.f64 y z))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(/.f64 x (*.f64 y z))
(log.f64 (exp.f64 (/.f64 x (*.f64 y z))))
(/.f64 x (*.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (*.f64 y z)))))
(/.f64 x (*.f64 y z))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(/.f64 x (*.f64 y z))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 x (*.f64 y z))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y z))))
(/.f64 x (*.f64 y z))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y z))))
(/.f64 x (*.f64 y z))
(exp.f64 (log.f64 (/.f64 x (*.f64 y z))))
(/.f64 x (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))
(/.f64 x (*.f64 y z))

eval43.0ms (0.3%)

Compiler

Compiled 4713 to 964 computations (79.5% saved)

prune30.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2012203
Fresh000
Picked011
Done000
Total2013204
Accuracy
100.0%
Counts
204 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
▶97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
✓98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 54 to 42 computations (22.2% saved)

simplify20.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
✓cost-diff0
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
✓cost-diff12864
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
✓cost-diff12864
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
✓cost-diff0
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
✓cost-diff0
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
✓cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
Rules
36×associate-*r/
33×associate-*r*
30×associate-*l*
29×associate-*l/
26×associate-/l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029523
154523
2116523
3218523
4271523
5277523
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 3 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
(acos.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) (sqrt.f64 t)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(acos.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) (sqrt.f64 t)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) (sqrt.f64 t)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(/.f64 x (*.f64 y z))
(/.f64 (/.f64 x y) z)
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 3 binary64)

localize146.0ms (1.1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
✓accuracy98.5%
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
✓accuracy95.7%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
✓accuracy93.1%
(/.f64 x (*.f64 y z))
✓accuracy99.4%
(*.f64 x #s(literal 1/18 binary64))
✓accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
✓accuracy95.6%
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
✓accuracy93.1%
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
Results
117.0ms256×0valid
Compiler

Compiled 145 to 22 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 12.0ms (32.3% of total)
...c/correct-round.rkt:121:19: 8.0ms (21.6% of total)
ival-acos: 5.0ms (13.5% of total)
ival-div: 4.0ms (10.8% of total)
ival-pow: 4.0ms (10.8% of total)
ival-cbrt: 2.0ms (5.4% of total)
ival-sqrt: 2.0ms (5.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.3%)

Counts
11 → 432
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))>
#<alt (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))>
#<alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))>
#<alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))>
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))>
#<alt (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))>
#<alt (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))>
#<alt (*.f64 x #s(literal 1/18 binary64))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))>
Outputs
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
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#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
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#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
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#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
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#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
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#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (*.f64 #s(literal 1/18 binary64) x)>
#<alt (*.f64 #s(literal 1/18 binary64) x)>
#<alt (*.f64 #s(literal 1/18 binary64) x)>
#<alt (*.f64 #s(literal 1/18 binary64) x)>
#<alt (*.f64 #s(literal 1/18 binary64) x)>
#<alt (*.f64 #s(literal 1/18 binary64) x)>
#<alt (*.f64 #s(literal 1/18 binary64) x)>
#<alt (*.f64 #s(literal 1/18 binary64) x)>
#<alt (*.f64 #s(literal 1/18 binary64) x)>
#<alt (*.f64 #s(literal 1/18 binary64) x)>
#<alt (*.f64 #s(literal 1/18 binary64) x)>
#<alt (*.f64 #s(literal 1/18 binary64) x)>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
Calls

117 calls:

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

rewrite300.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
1029×log1p-expm1-u
693×expm1-log1p-u
185×associate-*r*
167×add-exp-log
166×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029430
1402430
25231430
Stop Event
1×node limit
Counts
11 → 351
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 x #s(literal 1/18 binary64))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1 binary64))))
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(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z)
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) z) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64)) (*.f64 y z))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x z) y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x z) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x z) y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1 binary64)))

simplify709.0ms (5.3%)

Algorithm
1×egg-herbie
Rules
661×fma-define
553×cube-prod
477×exp-prod
381×swap-sqr
354×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051934774
1120734234
2413834216
Stop Event
1×node limit
Counts
783 → 293
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
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(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(pow.f64 (/.f64 (/.f64 x z) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 x z) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 x z) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 z x)) #s(literal -1 binary64))
(neg.f64 (/.f64 x (*.f64 y (neg.f64 z))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y z)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 x z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 x z) y))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 x z) y)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 x z) y)))
(exp.f64 (log.f64 (/.f64 (/.f64 x z) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x z) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 t) (*.f64 y (/.f64 z (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (*.f64 y z))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t)))) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 x)) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal -1/18 binary64))) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z)
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(/.f64 (*.f64 (*.f64 x #s(literal -1/18 binary64)) (sqrt.f64 t)) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) y) z)
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) z) y)
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) #s(literal 1 binary64)) (*.f64 y z))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (sqrt.f64 t))) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x z) y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x z) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x z) y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 x (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 3 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x z) y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64))) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x z) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64))) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))

eval44.0ms (0.3%)

Compiler

Compiled 6337 to 1374 computations (78.3% saved)

prune112.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2912293
Fresh000
Picked112
Done011
Total2924296
Accuracy
100.0%
Counts
296 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
▶99.2%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))))
✓97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
✓98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 74 to 58 computations (21.6% saved)

simplify374.0ms (2.8%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
✓cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
✓cost-diff0
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
✓cost-diff6528
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
✓cost-diff0
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
✓cost-diff0
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))
✓cost-diff12864
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64)))
✓cost-diff12864
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))))
Rules
10754×associate-+r+
1422×+-commutative
1122×associate-+l+
53×fma-define
45×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034605
163605
2119605
3217605
4320605
5401605
6579605
7608605
8608605
9976605
101060605
111060605
121060605
132110605
142360605
152360605
162360605
176115605
186135605
196135605
206135605
216996605
226996605
236996605
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))
#s(literal 1/18 binary64)
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))
(sqrt.f64 t)
t
(/.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
#s(literal 3 binary64)
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(sqrt.f64 t)
t
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
x
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
z
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 3 binary64))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
#s(literal 1/18 binary64)
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))
(*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))
(*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))
(sqrt.f64 t)
t
(/.f64 (/.f64 x z) y)
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 z y))
(/.f64 x z)
x
z
y
#s(literal 3 binary64)
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y)))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(sqrt.f64 t)
t
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
x
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
z
#s(literal 1 binary64)

localize178.0ms (1.3%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
✓accuracy99.4%
(/.f64 #s(literal 1/18 binary64) y)
✓accuracy95.6%
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
✓accuracy93.6%
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
✓accuracy98.5%
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))
✓accuracy98.5%
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64)))
✓accuracy95.7%
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))
✓accuracy91.8%
(/.f64 (/.f64 x z) y)
Results
146.0ms256×0valid
Compiler

Compiled 172 to 27 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
...c/correct-round.rkt:121:19: 35.0ms (47.6% of total)
ival-mult: 13.0ms (17.7% of total)
ival-div: 8.0ms (10.9% of total)
ival-acos: 5.0ms (6.8% of total)
ival-add: 4.0ms (5.4% of total)
ival-pow: 4.0ms (5.4% of total)
ival-sqrt: 3.0ms (4.1% of total)
ival-cbrt: 2.0ms (2.7% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series65.0ms (0.5%)

Counts
13 → 528
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64)))>
#<alt (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))>
#<alt (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))>
#<alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))>
#<alt (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))>
#<alt (/.f64 (/.f64 x z) y)>
#<alt (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))>
#<alt (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))>
#<alt (/.f64 #s(literal 1/18 binary64) y)>
#<alt (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)>
Outputs
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#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
Calls

135 calls:

TimeVariablePointExpression
29.0ms
x
@inf
(acos (* 1/18 (* (sqrt t) (/ (/ x z) y))))
1.0ms
y
@inf
(/ (/ 1/18 y) z)
1.0ms
z
@inf
(/ (/ 1/18 y) z)
0.0ms
y
@0
(/ (/ 1/18 y) z)
0.0ms
z
@0
(/ (/ 1/18 y) z)

rewrite334.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
966×log1p-expm1-u
205×associate-*r*
198×expm1-log1p-u
196×add-exp-log
196×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034504
1470502
26133502
Stop Event
1×node limit
Counts
13 → 385
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 (/.f64 x z) y)
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(/.f64 #s(literal 1/18 binary64) y)
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))) (sqrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))))) (sqrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 1/18 binary64)))) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (/.f64 (sqrt.f64 t) (/.f64 z x))) (neg.f64 y))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 x (neg.f64 z))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x (neg.f64 z)) (sqrt.f64 t)) (neg.f64 y))
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 x (*.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
(/.f64 x (*.f64 z (*.f64 y #s(literal 18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z)
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (neg.f64 z))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(/.f64 (*.f64 x (/.f64 #s(literal -1/18 binary64) y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
(/.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) x) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/18 binary64))
(pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 18 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/18 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/18 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/18 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/18 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/18 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (cbrt.f64 z)))
(pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64)))

simplify635.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
657×cube-prod
557×exp-prod
467×associate-*r*
388×associate-*l*
263×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078345707
1177443647
2586543647
Stop Event
1×node limit
Counts
913 → 448
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x z)) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (*.f64 z y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x z)) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 (/.f64 x z)) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x z)) y))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x z)) (cbrt.f64 y)))
(pow.f64 (/.f64 x (*.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 z y))) #s(literal 2 binary64))
(pow.f64 (*.f64 y (/.f64 z x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 x z) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 z)) y))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (*.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (*.f64 z y)))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 z y))))
(exp.f64 (log.f64 (/.f64 x (*.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 z y))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 t) (*.f64 y (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (sqrt.f64 t) (/.f64 z x))))
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z y))
(/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) y)
(/.f64 (neg.f64 (/.f64 (sqrt.f64 t) (/.f64 z x))) (neg.f64 y))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 x (neg.f64 z))) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x (neg.f64 z)) (sqrt.f64 t)) (neg.f64 y))
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z x)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 x (*.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
(/.f64 x (*.f64 z (*.f64 y #s(literal 18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z)
(/.f64 (neg.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (neg.f64 z))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(/.f64 (*.f64 x (/.f64 #s(literal -1/18 binary64) y)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 z y))
(/.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) y) x) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/18 binary64))
(pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 y #s(literal 18 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/18 binary64) y))
(sqrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 y #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/18 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/18 binary64) y))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) y)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/18 binary64) y)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/18 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 (/.f64 #s(literal -1/18 binary64) y) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (cbrt.f64 z)))
(pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z (neg.f64 y)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z (neg.f64 y)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z (neg.f64 y)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z)))))))
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(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 z) y)))
(/.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 z) y)))
(/.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y (sqrt.f64 z))) (sqrt.f64 z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) z))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) y)) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (cbrt.f64 z)))
(/.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (cbrt.f64 z)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 1 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(pow.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(neg.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) (neg.f64 z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(neg.f64 (/.f64 (/.f64 #s(literal -1/18 binary64) y) z))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) #s(literal 2 binary64)))
(fabs.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))

eval68.0ms (0.5%)

Compiler

Compiled 11458 to 2290 computations (80% saved)

prune78.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4471448
Fresh000
Picked112
Done022
Total4484452
Accuracy
100.0%
Counts
452 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)))
✓99.2%
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
✓97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
✓98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 74 to 58 computations (21.6% saved)

simplify300.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)
✓cost-diff0
(acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z))
✓cost-diff0
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64))
✓cost-diff6528
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)))
Rules
9569×associate-+r+
1400×+-commutative
1076×associate-+l+
53×fma-define
39×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025287
141285
273279
3127279
4229279
5359279
6542279
7567279
8567279
9943279
101019279
111019279
121019279
132195279
142433279
152433279
162433279
175691279
185711279
195711279
205711279
216574279
226574279
236574279
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z))
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t))
(*.f64 x (/.f64 #s(literal 1/18 binary64) y))
x
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
(sqrt.f64 t)
t
z
#s(literal 1 binary64)
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 t) z))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z)))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 x (/.f64 (sqrt.f64 t) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) y)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) (/.f64 x z))))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 t) z))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 x (/.f64 (sqrt.f64 t) z)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) y))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) (/.f64 x z))) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z))
(acos.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 t) z)))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z)))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 x (/.f64 (sqrt.f64 t) z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) y)))
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) y))
(acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) (/.f64 x z)))
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 x (/.f64 (sqrt.f64 t) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) y))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) y)
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) (/.f64 x z))
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (sqrt.f64 t))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 x (sqrt.f64 t)))
(*.f64 x (/.f64 #s(literal 1/18 binary64) y))
(*.f64 #s(literal 1/18 binary64) (/.f64 x y))
x
(/.f64 #s(literal 1/18 binary64) y)
#s(literal 1/18 binary64)
y
(sqrt.f64 t)
t
z
#s(literal 1 binary64)

localize94.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 x (/.f64 #s(literal 1/18 binary64) y))
accuracy99.4%
(/.f64 #s(literal 1/18 binary64) y)
✓accuracy93.6%
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t))
✓accuracy91.2%
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)
Results
51.0ms256×0valid
Compiler

Compiled 84 to 18 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 10.0ms (33.4% of total)
...c/correct-round.rkt:121:19: 7.0ms (23.4% of total)
ival-div: 4.0ms (13.3% of total)
ival-add: 3.0ms (10% of total)
ival-sqrt: 3.0ms (10% of total)
ival-acos: 2.0ms (6.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.2%)

Counts
6 → 252
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64))>
#<alt (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z))>
#<alt (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)>
#<alt (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t))>
#<alt (*.f64 x (/.f64 #s(literal 1/18 binary64) y))>
Outputs
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
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#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
Calls

63 calls:

TimeVariablePointExpression
2.0ms
y
@0
(* (* x (/ 1/18 y)) (sqrt t))
1.0ms
t
@-inf
(* (* x (/ 1/18 y)) (sqrt t))
1.0ms
x
@inf
(* (* x (/ 1/18 y)) (sqrt t))
1.0ms
x
@0
(* (* x (/ 1/18 y)) (sqrt t))
1.0ms
y
@inf
(* (* x (/ 1/18 y)) (sqrt t))

rewrite302.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
923×log1p-expm1-u
923×expm1-log1p-u
249×expm1-undefine
248×log1p-undefine
152×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
025249
1290247
23792243
Stop Event
1×node limit
Counts
6 → 196
Calls
Call 1
Inputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z))
(/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t))
(*.f64 x (/.f64 #s(literal 1/18 binary64) y))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 0 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 0 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 0 binary64))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 0 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
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(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 t)) y)
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) y)
(pow.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64))
(/.f64 x (*.f64 y #s(literal 18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/18 binary64))))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) y)
(/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1/18 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64)))

simplify458.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
775×fma-define
315×distribute-lft-neg-in
307×cancel-sign-sub-inv
307×distribute-rgt-neg-in
301×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046521938
1101021286
2341221026
Stop Event
1×node limit
Counts
448 → 276
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
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(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
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(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))
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(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))))
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(*.f64 (/.f64 (cbrt.f64 (*.f64 t (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))) z))
(*.f64 (/.f64 (cbrt.f64 (*.f64 t (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 t (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))) (cbrt.f64 z)))
(pow.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))) z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (/.f64 (sqrt.f64 t) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 t)) y)
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) y)
(pow.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 t)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64))
(/.f64 x (*.f64 y #s(literal 18 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x #s(literal 1/18 binary64))))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) y)
(/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) (neg.f64 y))
(/.f64 (*.f64 x #s(literal -1/18 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (neg.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(*.f64 #s(literal 1/18 binary64) (/.f64 x y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/18 binary64) (/.f64 x y))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64))))
(*.f64 #s(literal 1/18 binary64) (/.f64 x y))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/18 binary64) (/.f64 x y))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (/.f64 x y) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 #s(literal 1/18 binary64) (/.f64 x y))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 #s(literal 1/18 binary64) (/.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x y))

eval47.0ms (0.4%)

Compiler

Compiled 7775 to 1432 computations (81.6% saved)

prune188.0ms (1.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3000300
Fresh000
Picked011
Done033
Total3004304
Accuracy
100.0%
Counts
304 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.6%
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)))
✓99.2%
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
✓97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
✓98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 187 to 119 computations (36.4% saved)

regimes54.0ms (0.4%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (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))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)))
Calls

13 calls:

17.0ms
(*.f64 z #s(literal 2 binary64))
6.0ms
(*.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))))
3.0ms
z
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1t
99.6%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))))
99.6%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)))
99.6%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))
99.6%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.6%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.6%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.6%1(*.f64 y #s(literal 27 binary64))
99.6%1(*.f64 z #s(literal 2 binary64))
99.6%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes32.0ms (0.2%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (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))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
Calls

13 calls:

3.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
3.0ms
(sqrt.f64 t)
2.0ms
x
2.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
2.0ms
t
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1t
99.2%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))))
99.2%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)))
99.2%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))
99.2%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.2%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.2%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.2%1(*.f64 y #s(literal 27 binary64))
99.2%1(*.f64 z #s(literal 2 binary64))
99.2%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes94.0ms (0.7%)

Accuracy

Total -0.5b remaining (-41.7%)

Threshold costs -0.5b (-41.7%)

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

13 calls:

72.0ms
z
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
(*.f64 y #s(literal 27 binary64))
2.0ms
y
2.0ms
(sqrt.f64 t)
Results
AccuracySegmentsBranch
98.1%1x
98.1%1y
98.1%1z
98.1%1t
98.1%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.1%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.1%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.1%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.1%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.1%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.1%1(*.f64 y #s(literal 27 binary64))
98.1%1(*.f64 z #s(literal 2 binary64))
98.1%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
7×*-commutative
3×1-exp
2×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037169
151169
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 t)) z)) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))

soundness1.1s (8%)

Rules
1029×log1p-expm1-u
966×log1p-expm1-u
782×log1p-expm1-u
782×expm1-log1p-u
712×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034504
1470502
26133502
051934774
1120734234
2413834216
029430
1402430
25231430
021187
1249187
23308187
01001040
1292920
2999824
33700824
44379824
55515824
67072824
Stop Event
1×done
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 479 to 187 computations (61% saved)

preprocess75.0ms (0.6%)

Remove

(sort y z)

Compiler

Compiled 266 to 188 computations (29.3% saved)

end0.0ms (0%)

Profiling

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