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

Time bar (total: 19.2s)

analyze850.0ms (4.4%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
0%0%99.8%0.2%0%0%0%8
4.2%3.1%71.7%0.2%0%25%0%9
4.2%3.1%71.3%0.2%0%25.3%0%10
6.3%4.7%69.2%0.2%0%25.9%0%11
9.2%6.6%65.8%0.2%0%27.4%0%12
Compiler

Compiled 24 to 19 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 308.0ms
ival-mult: 127.0ms (41.3% of total)
ival-div: 124.0ms (40.3% of total)
ival-sqrt: 26.0ms (8.4% of total)
ival-acos: 22.0ms (7.1% of total)
const: 7.0ms (2.3% of total)
backward-pass: 1.0ms (0.3% of total)

sample5.5s (28.8%)

Results
2.4s15650×0invalid
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-mult: 1.6s (56.4% of total)
ival-div: 741.0ms (26.2% of total)
ival-acos: 211.0ms (7.5% of total)
ival-sqrt: 203.0ms (7.2% of total)
const: 67.0ms (2.4% of total)
backward-pass: 10.0ms (0.4% of total)
Bogosity

preprocess163.0ms (0.8%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01001040
1292920
2999824
33700824
44379824
55515824
67072824
Stop Event
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)

explain189.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
251(8.75664417376805e-295 -4.665987006460902e+280 -5.8300013495120384e-254 4.3987544643145837e-187)1(-1.3898975154208922e-241 -1.2276554622678383e+76 -6.03052219908715e-50 2.876750276140171e+30)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
170-1(-6.502723379643713e-290 -4.359721052474122e+141 -2.1230959824756683e-123 2.654292123829748e+67)(*.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
87.0ms512×0valid
Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 19.0ms (42% of total)
ival-div: 13.0ms (28.7% of total)
ival-sqrt: 7.0ms (15.5% of total)
ival-acos: 5.0ms (11.1% of total)
const: 2.0ms (4.4% 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)

simplify17.0ms (0.1%)

Algorithm
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
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 (0.3%)

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))))
accuracy94.3%
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
accuracy91.0%
(/.f64 (/.f64 x y) z)
Results
39.0ms256×0valid
Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
...c/correct-round.rkt:119:19: 7.0ms (31.9% of total)
ival-mult: 5.0ms (22.8% of total)
ival-div: 4.0ms (18.2% of total)
ival-acos: 3.0ms (13.7% of total)
ival-sqrt: 2.0ms (9.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (0.2%)

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))))>
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#<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))))>
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#<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
8.0ms
x
@0
(* (* 1/18 (/ (/ x y) z)) (sqrt t))
3.0ms
x
@-inf
(/ (/ x y) z)
3.0ms
z
@0
(* (* 1/18 (/ (/ x y) z)) (sqrt t))
2.0ms
t
@-inf
(* (* 1/18 (/ (/ x y) z)) (sqrt t))
1.0ms
y
@0
(* (* 1/18 (/ (/ x y) z)) (sqrt t))

rewrite371.0ms (1.9%)

Algorithm
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
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))
(*.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)))

simplify266.0ms (1.4%)

Algorithm
egg-herbie
Rules
770×fma-neg
587×exp-prod
444×associate-/r*
296×distribute-lft-in
238×cube-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038814975
180714753
2251914739
3694614687
Stop Event
node limit
Counts
366 → 198
Calls
Call 1
Inputs
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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))))))
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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 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) 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 x y) (/.f64 #s(literal 1/18 binary64) 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 x y) (/.f64 #s(literal 1/18 binary64) 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 x y) (/.f64 #s(literal 1/18 binary64) 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 x y) (/.f64 #s(literal 1/18 binary64) 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 x y) (/.f64 #s(literal 1/18 binary64) 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 x y) (/.f64 #s(literal 1/18 binary64) 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 x y) (/.f64 #s(literal 1/18 binary64) 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 x y) (/.f64 #s(literal 1/18 binary64) 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 x y) (/.f64 #s(literal 1/18 binary64) 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 x y) (/.f64 #s(literal 1/18 binary64) 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 x y) (/.f64 #s(literal 1/18 binary64) 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 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))

eval114.0ms (0.6%)

Compiler

Compiled 4582 to 926 computations (79.8% saved)

prune32.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1953198
Fresh000
Picked011
Done000
Total1954199
Accuracy
100.0%
Counts
199 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
99.6%
(*.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))))
98.1%
(*.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 73 to 57 computations (21.9% saved)

simplify133.0ms (0.7%)

Algorithm
egg-herbie
Localize:

Found 12 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
(log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
cost-diff12800
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
cost-diff12800
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
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
855×sub-neg
406×neg-sub0
397×fma-define
383×distribute-neg-in
371×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032829
163829
2135829
3252829
4322829
5436829
61112829
71679829
83827829
96554829
107982829
Stop Event
node limit
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)
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
#s(literal 1/3 binary64)
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(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
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 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))))
(*.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 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(*.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 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
(*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))
(*.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 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))))
(*.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 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(*.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 1/3 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 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(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 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))) #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))
(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 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))
(/.f64 x (*.f64 y z))
(/.f64 (/.f64 x z) y)
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)
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (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 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))))
(*.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 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(*.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 1/3 binary64)
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(log1p.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(log1p.f64 (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(log1p.f64 (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(log1p.f64 (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))
(/.f64 x (*.f64 y z))
(/.f64 (/.f64 x z) y)
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t

localize149.0ms (0.8%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy99.3%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
accuracy94.4%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy91.8%
(/.f64 x (*.f64 y z))
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)))
accuracy94.4%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy91.8%
(/.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))))
accuracy94.3%
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
accuracy91.7%
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
Results
103.0ms256×0valid
Compiler

Compiled 226 to 25 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 19.0ms (31.6% of total)
...c/correct-round.rkt:119:19: 15.0ms (24.9% of total)
ival-acos: 8.0ms (13.3% of total)
ival-div: 4.0ms (6.6% of total)
ival-pow: 4.0ms (6.6% of total)
ival-expm1: 3.0ms (5% of total)
ival-log1p: 3.0ms (5% of total)
ival-cbrt: 2.0ms (3.3% of total)
ival-sqrt: 2.0ms (3.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series422.0ms (2.2%)

Counts
15 → 580
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 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))>
#<alt (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))>
#<alt (log1p.f64 (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)))>
#<alt (*.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))))))>
#<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))))>
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#<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 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

156 calls:

TimeVariablePointExpression
76.0ms
z
@inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
74.0ms
t
@-inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
45.0ms
x
@0
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
43.0ms
y
@inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
25.0ms
t
@inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))

rewrite335.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
1083×log1p-expm1-u
472×expm1-log1p-u
191×associate-*r*
175×add-exp-log
175×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032589
1436589
25446589
Stop Event
node limit
Counts
15 → 444
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 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log1p.f64 (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)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (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 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) #s(literal 1 binary64)))
(+.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #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 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (sqrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (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 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (sqrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))
(+.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 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 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 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))))))
(+.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 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))) (sqrt.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (*.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y z))))
(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 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))) #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 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (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 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) y) z)
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)) (*.f64 y z))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))
(pow.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) (*.f64 t #s(literal 1/324 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (sqrt.f64 t)) (/.f64 (/.f64 x z) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))) #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 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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 1/18 binary64) (sqrt.f64 t))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (sqrt.f64 t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)))

simplify854.0ms (4.4%)

Algorithm
egg-herbie
Rules
851×fma-define
549×cube-prod
496×exp-prod
378×swap-sqr
373×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
058347424
1131346424
2454546216
Stop Event
node limit
Counts
1024 → 359
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 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 (*.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 (*.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))))))
(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)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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)))))
(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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(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)))))
(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)))))
(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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(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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(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.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 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 t) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (sqrt.f64 t) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))

eval65.0ms (0.3%)

Compiler

Compiled 9181 to 1876 computations (79.6% saved)

prune75.0ms (0.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New4244428
Fresh000
Picked213
Done011
Total4266432
Accuracy
100.0%
Counts
432 → 6
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 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
98.1%
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
97.3%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))))
98.1%
(*.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 115 to 90 computations (21.7% saved)

simplify460.0ms (2.4%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
cost-diff0
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)))
cost-diff0
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64))
cost-diff6528
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
cost-diff0
(acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))
cost-diff0
(+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64))
cost-diff256
(-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff256
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))))
cost-diff0
(pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))
cost-diff12864
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64)))
cost-diff12864
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))))
cost-diff0
(fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))
cost-diff6528
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))
cost-diff6528
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
cost-diff6528
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))))
Rules
3120×associate-+r-
1550×fma-define
840×distribute-lft-in
676×+-commutative
670×sub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0491277
11001257
22211197
34901197
48941197
516421197
623361197
730571197
833701197
936901197
1039141197
1139851197
1240141197
1340451197
1440801197
1541231197
1641591197
1741971197
1842361197
1942761197
2043151197
2143191197
2243231197
2352581197
2457721197
2564981197
2669541197
2769541197
2872451197
2973511197
3073511197
3173511197
3273511197
3373511197
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
#s(literal 1 binary64)
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))
(/.f64 x y)
x
y
(*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))
#s(literal -1/18 binary64)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
#s(literal 3 binary64)
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1/3 binary64)
(-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64))
(acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))
x
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y)
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
y
(sqrt.f64 t)
t
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
#s(literal 1/18 binary64)
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)
(/.f64 (sqrt.f64 t) (*.f64 y z))
(sqrt.f64 t)
t
(*.f64 y z)
y
z
x
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 0 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y))))
(*.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 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))
(acos.f64 (+.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 0 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y)))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 0 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
#s(literal -1 binary64)
(fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 t) z) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)) #s(literal 1 binary64))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
#s(literal 1 binary64)
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal -1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64)))
(acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y)))
(acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal -1/18 binary64) y))))
(acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z)))
(pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal -1/18 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y)))
(acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal -1/18 binary64) y))))
(acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z)))
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))
(*.f64 #s(literal -1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y))
(*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal -1/18 binary64) y)))
(*.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z))
(/.f64 x y)
x
y
(*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal -1/18 binary64) z))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z)
#s(literal -1/18 binary64)
(/.f64 (sqrt.f64 t) z)
(sqrt.f64 t)
t
z
#s(literal 3 binary64)
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 0 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y))))
(*.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 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
#s(literal 1/3 binary64)
(-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))
(acos.f64 (+.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 0 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y)))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
(acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))
(acos.f64 (+.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 0 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y)))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 0 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
x
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y)
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
y
(sqrt.f64 t)
t
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 0 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y))))
(*.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 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 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 y z))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x 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 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) z) y)))) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)))
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))
(acos.f64 (+.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 0 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y)))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 0 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))
#s(literal 1/18 binary64)
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)
(*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y)
(*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))
(/.f64 (sqrt.f64 t) (*.f64 y z))
(sqrt.f64 t)
t
(*.f64 y z)
y
z
x
#s(literal 1 binary64)

localize629.0ms (3.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
accuracy99.6%
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
accuracy94.1%
(/.f64 (sqrt.f64 t) (*.f64 y z))
accuracy93.0%
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)
accuracy99.5%
(/.f64 #s(literal 1/18 binary64) z)
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy94.8%
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))
accuracy93.0%
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))))
accuracy98.5%
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64)))
accuracy98.4%
(pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))
accuracy87.4%
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))
accuracy99.5%
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))))
accuracy91.8%
(/.f64 x (*.f64 y z))
accuracy39.9%
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))
Results
552.0ms251×1valid
3.0ms0valid
Compiler

Compiled 339 to 41 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 447.0ms
ival-mult: 274.0ms (61.2% of total)
backward-pass: 58.0ms (13% of total)
...c/correct-round.rkt:119:19: 30.0ms (6.7% of total)
ival-div: 24.0ms (5.4% of total)
ival-acos: 19.0ms (4.2% of total)
ival-fma: 11.0ms (2.5% of total)
ival-add: 10.0ms (2.2% of total)
ival-pow: 9.0ms (2% of total)
ival-sqrt: 5.0ms (1.1% of total)
ival-cbrt: 4.0ms (0.9% of total)
ival-sub: 3.0ms (0.7% of total)
const: 1.0ms (0.2% of total)

series93.0ms (0.5%)

Counts
23 → 984
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))))>
#<alt (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))>
#<alt (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))>
#<alt (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64)))>
#<alt (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))>
#<alt (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))))>
#<alt (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64))>
#<alt (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))>
#<alt (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))>
#<alt (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))>
#<alt (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))>
#<alt (/.f64 #s(literal 1/18 binary64) z)>
#<alt (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)>
#<alt (/.f64 (sqrt.f64 t) (*.f64 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 (*.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 (*.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 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (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 (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 (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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.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 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 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 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 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 (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 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
Calls

258 calls:

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

rewrite220.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
355×log1p-expm1-u
355×expm1-log1p-u
349×add-exp-log
348×add-log-exp
348×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0491017
1801999
Stop Event
node limit
Counts
23 → 417
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))))
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64))
(acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))
(/.f64 #s(literal 1/18 binary64) z)
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x)
(/.f64 (sqrt.f64 t) (*.f64 y z))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))) #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 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))) (sqrt.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))))))
(pow.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64)))) #s(literal 1 binary64))
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(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(pow.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) 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 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))) y)
(/.f64 (*.f64 x (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) (*.f64 (/.f64 y x) z))
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t))) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) x) (*.f64 y z))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) #s(literal 1 binary64)) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 t)) (neg.f64 x)) (*.f64 z (neg.f64 y)))
(pow.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(exp.f64 (log.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) y)
(pow.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 (/.f64 #s(literal 1/18 binary64) z)))
(pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/18 binary64) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z #s(literal 1/18 binary64)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 1/324 binary64) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/18 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/18 binary64) z))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) z)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/18 binary64) z)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/18 binary64) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/18 binary64) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z))
(pow.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (cbrt.f64 (/.f64 t (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))) (sqrt.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 t (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64)))

simplify938.0ms (4.9%)

Algorithm
egg-herbie
Rules
869×times-frac
416×cube-prod
410×exp-prod
385×associate-*r*
380×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
079764700
1149463601
2506163401
Stop Event
node limit
Counts
1401 → 509
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))))))
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(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (cbrt.f64 (/.f64 t (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))) (sqrt.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y z) (sqrt.f64 t)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 t (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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) x) (/.f64 (sqrt.f64 t) (*.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 (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) x) (/.f64 (sqrt.f64 t) (*.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 (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) x) (/.f64 (sqrt.f64 t) (*.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 (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) x) (/.f64 (sqrt.f64 t) (*.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 (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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.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))))))
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eval82.0ms (0.4%)

Compiler

Compiled 11794 to 2569 computations (78.2% saved)

prune87.0ms (0.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New5565561
Fresh000
Picked224
Done112
Total5598567
Accuracy
100.0%
Counts
567 → 8
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 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
99.6%
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64)))
98.1%
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
98.3%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
98.3%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
97.0%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
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 268 to 207 computations (22.8% saved)

simplify379.0ms (2%)

Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))))
cost-diff384
(+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))
cost-diff384
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))))
cost-diff384
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
cost-diff128
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
cost-diff512
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))
cost-diff512
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))))
cost-diff512
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
cost-diff0
(/.f64 x y)
cost-diff0
(sqrt.f64 t)
cost-diff0
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
cost-diff0
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))
cost-diff128
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
cost-diff128
(acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
cost-diff128
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
cost-diff128
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))
cost-diff128
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z))))
cost-diff128
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64))
cost-diff6656
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64)))
Rules
2968×fma-define
883×associate-+r+
653×associate-*r/
528×associate-*l/
383×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0571605
11231506
22991476
38661476
419421476
529071476
642171476
747811476
848971476
949351476
1049351476
1158651476
1259561476
1359561476
1459561476
1569291476
1675251476
1775331476
1875331476
1975331476
2077321476
2177321476
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))
#s(literal 1/18 binary64)
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z))
(sqrt.f64 t)
t
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y
z
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))
#s(literal -1 binary64)
(/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z)
(+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)))
z
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 x y)
x
y
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))
#s(literal -1 binary64)
(*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))
x
(+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
#s(literal 1/18 binary64)
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(sqrt.f64 t)
t
(/.f64 #s(literal 1 binary64) (*.f64 y z))
#s(literal 1 binary64)
(*.f64 y z)
y
z
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))))
(+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))
#s(literal -1 binary64)
(*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))
t
(+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))))
#s(literal 1/18 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z))))) #s(literal 0 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 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) z)) y)))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) z)) y)) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (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 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) z)) y))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) z)) y)
#s(literal 1/18 binary64)
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))
(*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))
(*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))
(sqrt.f64 t)
t
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 y z))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
#s(literal 1 binary64)
(/.f64 x y)
x
y
z
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(acos.f64 #s(literal 0 binary64))
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y) z) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z) z))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z)))
(acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z)))
(acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) z)))
(acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y) z) z)))
(acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z) z)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) z))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y) z) z))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z) z))
#s(literal -1 binary64)
(/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z)
(/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z)
(/.f64 (fma.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) z)
(/.f64 (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y) z) z)
(/.f64 (fma.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z) z)
(+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)))
(+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y) z)
(fma.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) z)
z
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x y)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) y))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(/.f64 x y)
x
y
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z))))) #s(literal 0 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 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) z)) y)))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (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 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) z)) y))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) z)) y)
#s(literal -1 binary64)
(*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))
(fma.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))
x
(+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))
#s(literal 1/18 binary64)
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 (sqrt.f64 t) (*.f64 y z))
(sqrt.f64 t)
t
(/.f64 #s(literal 1 binary64) (*.f64 y z))
#s(literal 1 binary64)
(*.f64 y z)
y
z
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x y) z)) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 (*.f64 t (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) #s(literal 0 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 t (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 t (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) y) (/.f64 x z))))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x y) z)) (/.f64 #s(literal 1 binary64) t)))))
(acos.f64 (+.f64 (*.f64 t (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) #s(literal 0 binary64)))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 t (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 t (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) y) (/.f64 x z)))))
(+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))
(+.f64 #s(literal -1 binary64) (*.f64 t (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x y) z)) (/.f64 #s(literal 1 binary64) t))))
(+.f64 (*.f64 t (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))) #s(literal 0 binary64))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 t (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(*.f64 #s(literal 1/18 binary64) (*.f64 t (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) y) (/.f64 x z))))
#s(literal -1 binary64)
(*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))
(*.f64 t (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x y) z)) (/.f64 #s(literal 1 binary64) t)))
(fma.f64 t (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) #s(literal 1 binary64))
(fma.f64 (*.f64 t (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (/.f64 x (*.f64 y z)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 t (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) y) (/.f64 x z))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 x (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) t) z) y)) #s(literal 1 binary64))
t
(+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x y) z)) (/.f64 #s(literal 1 binary64) t))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) t))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 y z))) (/.f64 #s(literal 1 binary64) t))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) y) (/.f64 x z)) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x y) z)))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) y) (/.f64 x z)))
#s(literal 1/18 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x y) z))
(*.f64 x (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) y) (/.f64 x z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
(/.f64 x (*.f64 y z))
(/.f64 (/.f64 x y) z)
x
(*.f64 y z)
y
z

localize1.2s (6.1%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
accuracy95.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))
accuracy91.8%
(/.f64 x (*.f64 y z))
accuracy39.9%
(+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
accuracy98.0%
(/.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy95.0%
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
accuracy39.9%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))
accuracy99.3%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
accuracy95.0%
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))
accuracy39.9%
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))
accuracy100.0%
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
accuracy100.0%
(acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
accuracy98.4%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
accuracy100.0%
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64)))
accuracy99.6%
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))
accuracy94.3%
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z))
accuracy91.0%
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)
Results
798.0ms153×2valid
185.0ms98×1valid
3.0ms0valid
Compiler

Compiled 477 to 48 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 612.0ms
ival-mult: 199.0ms (32.5% of total)
...c/correct-round.rkt:119:19: 173.0ms (28.3% of total)
backward-pass: 114.0ms (18.6% of total)
ival-div: 48.0ms (7.8% of total)
ival-add: 29.0ms (4.7% of total)
ival-acos: 28.0ms (4.6% of total)
ival-sqrt: 13.0ms (2.1% of total)
ival-fma: 8.0ms (1.3% of total)
const: 1.0ms (0.2% of total)

series109.0ms (0.6%)

Counts
25 → 716
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))>
#<alt (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))>
#<alt (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))>
#<alt (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))>
#<alt (sqrt.f64 t)>
#<alt (/.f64 x y)>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))>
#<alt (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))))>
#<alt (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))))>
#<alt (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)>
#<alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z))>
#<alt (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y z))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 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 (*.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 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))>
Calls

231 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(acos (+ -1 (* x (+ (* 1/18 (* (sqrt t) (/ 1 (* y z)))) (/ 1 x)))))
2.0ms
z
@0
(* 1/3 (acos (+ -1 (* t (+ (* 1/18 (* (sqrt (/ 1 t)) (/ x (* y z)))) (/ 1 t))))))
2.0ms
x
@0
(* 1/18 (* (sqrt (/ 1 t)) (/ x (* y z))))
2.0ms
z
@-inf
(* 1/18 (* (sqrt t) (/ (* 1 (/ x y)) z)))
1.0ms
x
@0
(+ -1 (* t (+ (* 1/18 (* (sqrt (/ 1 t)) (/ x (* y z)))) (/ 1 t))))

rewrite207.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
447×log1p-expm1-u
447×expm1-log1p-u
438×add-log-exp
437×add-exp-log
436×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0571033
11001951
Stop Event
node limit
Counts
25 → 393
Calls
Call 1
Inputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
(acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))
(sqrt.f64 t)
(/.f64 x y)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))))
(+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))))
(pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))) #s(literal 3 binary64)))
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(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 2 binary64))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 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 y z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 y z) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal -1 binary64)))
(pow.f64 (*.f64 y z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(exp.f64 (neg.f64 (log.f64 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))
(pow.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))) #s(literal 2 binary64))
(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))) #s(literal 1 binary64)))

simplify901.0ms (4.7%)

Algorithm
egg-herbie
Rules
502×exp-prod
455×cube-prod
446×associate-*r*
398×associate-*l*
323×swap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
085651834
1158349596
2520348464
Stop Event
node limit
Counts
1109 → 534
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))))))
(*.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 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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.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 (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal -1 binary64)))
(pow.f64 (*.f64 y z) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(exp.f64 (neg.f64 (log.f64 (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))
(pow.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))) #s(literal 2 binary64))
(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) 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 (/.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 (*.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 (*.f64 (sqrt.f64 t) (*.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 x (/.f64 (neg.f64 (sqrt.f64 t)) (*.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 (*.f64 (sqrt.f64 t) (*.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 x (/.f64 (neg.f64 (sqrt.f64 t)) (*.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 (*.f64 (sqrt.f64 t) (*.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 x (/.f64 (neg.f64 (sqrt.f64 t)) (*.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 (*.f64 (sqrt.f64 t) (*.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 x (/.f64 (neg.f64 (sqrt.f64 t)) (*.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))))))
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(/.f64 #s(literal 1 binary64) (*.f64 y z))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z))))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(exp.f64 (neg.f64 (log.f64 (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (*.f64 y z)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 y z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)) #s(literal 1 binary64))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))) #s(literal 3 binary64))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))) #s(literal 2 binary64))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)))))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z)) #s(literal 3 binary64)))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64))))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (pow.f64 t #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) x) (*.f64 y z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 x (*.f64 y z)))
(*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal -1/2 binary64)))

eval625.0ms (3.2%)

Compiler

Compiled 14755 to 3544 computations (76% saved)

prune153.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New6654669
Fresh000
Picked415
Done123
Total6707677
Accuracy
100.0%
Counts
677 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
98.5%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
98.3%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x))))))
96.4%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (pow.f64 t #s(literal -1/2 binary64)))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) 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))))
97.0%
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
Compiler

Compiled 409 to 228 computations (44.3% saved)

regimes108.0ms (0.6%)

Counts
18 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #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 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x))))))
(*.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 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (pow.f64 t #s(literal -1/2 binary64)))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal -1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #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 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64)))
Calls

13 calls:

37.0ms
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
6.0ms
z
6.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
6.0ms
(sqrt.f64 t)
6.0ms
(*.f64 y #s(literal 27 binary64))
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)

regimes64.0ms (0.3%)

Counts
14 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #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 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x))))))
(*.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 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (pow.f64 t #s(literal -1/2 binary64)))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
Calls

13 calls:

6.0ms
(sqrt.f64 t)
6.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
5.0ms
y
5.0ms
(*.f64 z #s(literal 2 binary64))
5.0ms
(*.f64 y #s(literal 27 binary64))
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)

regimes134.0ms (0.7%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #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 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x))))))
(*.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 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (pow.f64 t #s(literal -1/2 binary64)))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))))
Outputs
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))
Calls

13 calls:

61.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
24.0ms
x
5.0ms
(*.f64 z #s(literal 2 binary64))
5.0ms
y
5.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.5%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.5%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.5%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.5%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.5%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.5%1(*.f64 y #s(literal 27 binary64))
98.5%1(*.f64 z #s(literal 2 binary64))
98.5%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes122.0ms (0.6%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #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 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x))))))
(*.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 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (pow.f64 t #s(literal -1/2 binary64)))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
Calls

13 calls:

75.0ms
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
4.0ms
t
4.0ms
(*.f64 z #s(literal 2 binary64))
4.0ms
(sqrt.f64 t)
4.0ms
y
Results
AccuracySegmentsBranch
98.3%1x
98.3%1y
98.3%1z
98.3%1t
98.3%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.3%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.3%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.3%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.3%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.3%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.3%1(*.f64 y #s(literal 27 binary64))
98.3%1(*.f64 z #s(literal 2 binary64))
98.3%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes94.0ms (0.5%)

Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #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 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x))))))
(*.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 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (pow.f64 t #s(literal -1/2 binary64)))) (*.f64 y z)) (/.f64 #s(literal 1 binary64) t))))))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x))))))
Calls

13 calls:

38.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
16.0ms
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
4.0ms
(*.f64 y #s(literal 27 binary64))
4.0ms
y
4.0ms
(sqrt.f64 t)
Results
AccuracySegmentsBranch
98.3%1y
98.3%1z
98.3%1t
98.3%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.3%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.3%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.3%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.3%1(*.f64 y #s(literal 27 binary64))
98.3%1(*.f64 z #s(literal 2 binary64))
98.3%1(sqrt.f64 t)
98.3%1x
98.3%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.3%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
Compiler

Compiled 135 to 108 computations (20% saved)

regimes54.0ms (0.3%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #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 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
Calls

5 calls:

43.0ms
t
3.0ms
y
3.0ms
z
3.0ms
(sqrt.f64 t)
2.0ms
x
Results
AccuracySegmentsBranch
98.1%1y
98.1%1z
98.1%1t
98.1%1(sqrt.f64 t)
98.1%1x
Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes12.0ms (0.1%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #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 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (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

5 calls:

3.0ms
y
2.0ms
t
2.0ms
z
2.0ms
x
2.0ms
(sqrt.f64 t)
Results
AccuracySegmentsBranch
98.1%1x
98.1%1y
98.1%1z
98.1%1t
98.1%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes6.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
Calls

4 calls:

2.0ms
t
2.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
97.0%1x
97.0%1y
97.0%1z
97.0%1t
Compiler

Compiled 20 to 16 computations (20% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Rules
21×*-commutative
+-commutative
1-exp
*-lft-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069426
1104426
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
(*.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 #s(literal 0 binary64)))
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1 binary64) (/.f64 x y)) z)))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 #s(literal 0 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))))
(*.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)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))

soundness2.8s (14.6%)

Rules
1083×log1p-expm1-u
869×times-frac
851×fma-define
782×log1p-expm1-u
782×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01001040
1292920
2999824
33700824
44379824
55515824
67072824
079764700
1149463601
2506163401
058347424
1131346424
2454546216
032589
1436589
25446589
085651834
1158349596
2520348464
0571033
11001951
021187
1249187
23308187
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1548 to 619 computations (60% saved)

preprocess67.0ms (0.3%)

Remove

(sort y z)

Compiler

Compiled 566 to 376 computations (33.6% saved)

end0.0ms (0%)

Profiling

Loading profile data...