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

Time bar (total: 14.4s)

analyze795.0ms (5.5%)

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: 263.0ms
ival-mult: 94.0ms (35.8% of total)
ival-acos: 74.0ms (28.2% of total)
ival-div: 61.0ms (23.2% of total)
ival-sqrt: 25.0ms (9.5% of total)
const: 8.0ms (3% of total)
backward-pass: 1.0ms (0.4% of total)

sample5.1s (35.3%)

Results
2.2s15948×0invalid
1.8s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-mult: 1.1s (47.4% of total)
ival-div: 774.0ms (33.2% of total)
ival-sqrt: 191.0ms (8.2% of total)
ival-acos: 189.0ms (8.1% of total)
const: 69.0ms (3% of total)
backward-pass: 6.0ms (0.3% of total)
Bogosity

preprocess157.0ms (1.1%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01001040
1292920
2999824
33700824
44379824
55515824
67072824
Stop Event
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)

explain305.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-5(1.2064418736485166e-127 -3.676583485977511e+117 6.495113806247648e+73 1.2655609728203052e+66)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
130-3(1.3140657576498409e-117 -1.8039273279826883e+198 -2.591065309818978e-16 4.1684409507316504e+89)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 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-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-y
00-0-(*.f64 y #s(literal 27 binary64))
01(2.5682819192190754e-101 -4.4921253940906755e+221 2.6453672547979487e-55 1.3962495217986337e+141)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: 41.0ms
ival-mult: 18.0ms (43.6% of total)
ival-div: 12.0ms (29.1% of total)
ival-acos: 5.0ms (12.1% of total)
ival-sqrt: 4.0ms (9.7% of total)
const: 2.0ms (4.8% 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
97.7%
(*.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)

simplify16.0ms (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

localize52.0ms (0.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
accuracy95.6%
(/.f64 (/.f64 x y) z)
accuracy94.9%
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
Results
39.0ms256×0valid
Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
...c/correct-round.rkt:121:19: 7.0ms (31.1% of total)
ival-mult: 6.0ms (26.6% of total)
ival-div: 5.0ms (22.2% of total)
ival-sqrt: 2.0ms (8.9% of total)
ival-acos: 2.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series33.0ms (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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
Calls

54 calls:

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

rewrite300.0ms (2.1%)

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)))

simplify242.0ms (1.7%)

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

Useful iterations: 3 (0.0ms)

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

eval32.0ms (0.2%)

Compiler

Compiled 4713 to 964 computations (79.5% saved)

prune33.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2003203
Fresh000
Picked101
Done000
Total2013204
Accuracy
100.0%
Counts
204 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(*.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)))))))
100.0%
(*.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))))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
Compiler

Compiled 56 to 44 computations (21.4% saved)

simplify100.0ms (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
854×sub-neg
397×fma-define
382×distribute-neg-in
368×+-commutative
298×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032829
163829
2135829
3252829
4322829
5436829
61112829
71679829
83824829
96557829
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

localize161.0ms (1.1%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(*.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)))))))
accuracy95.1%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy91.2%
(/.f64 x (*.f64 y z))
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)))
accuracy98.4%
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
accuracy95.1%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy91.2%
(/.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))))
accuracy94.9%
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
accuracy91.2%
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
Results
100.0ms256×0valid
Compiler

Compiled 226 to 25 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 16.0ms (24.8% of total)
compiled-spec: 10.0ms (15.5% of total)
ival-pow: 9.0ms (13.9% of total)
...c/correct-round.rkt:121:19: 7.0ms (10.8% of total)
ival-acos: 5.0ms (7.7% of total)
ival-div: 4.0ms (6.2% of total)
ival-exp: 3.0ms (4.6% of total)
ival-log: 3.0ms (4.6% of total)
ival-cbrt: 2.0ms (3.1% of total)
ival-sqrt: 2.0ms (3.1% of total)
ival-add: 1.0ms (1.5% of total)
ival-sub: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series375.0ms (2.6%)

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))))>
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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 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
t
@-inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
52.0ms
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))))))
21.0ms
y
@-inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
20.0ms
x
@-inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))

rewrite737.0ms (5.1%)

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)))))))))
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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)))

simplify628.0ms (4.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
058347424
1132446424
2454846216
Stop Event
node limit
Counts
1024 → 358
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))))))
(*.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))))))
(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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (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 #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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.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)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x 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 (*.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)))))
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(*.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))

eval58.0ms (0.4%)

Compiler

Compiled 9124 to 1865 computations (79.6% saved)

prune175.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4242426
Fresh000
Picked033
Done000
Total4245429
Accuracy
100.0%
Counts
429 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 #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)))
98.5%
(*.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)))
98.5%
(*.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)))))))
100.0%
(*.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))))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
Compiler

Compiled 97 to 76 computations (21.6% saved)

simplify418.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
cost-diff0
(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))
cost-diff6528
(+.f64 #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)))
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)))
Rules
3729×associate-+r-
1872×fma-define
876×distribute-lft-in
781×+-commutative
550×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033632
163602
2140602
3315602
4629602
51500602
62263602
72635602
82932602
93305602
103597602
113619602
124505602
134744602
145327602
155492602
165876602
175904602
185930602
195960602
205997602
216030602
226065602
236653602
246951602
257377602
267753602
277753602
287753602
297914602
307914602
317914602
327914602
337914602
347914602
Stop Event
node limit
Calls
Call 1
Inputs
(*.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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1 binary64)))
#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))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(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)
Outputs
(*.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) (+.f64 (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) y))) #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 z y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) 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))
(+.f64 (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) y))) #s(literal 0 binary64))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))))
(acos.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y)))
(acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 z y)))))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) y))))
(+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) y))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 z y))))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) y)))) #s(literal 1 binary64))
(acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))))
(+.f64 (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) y))) #s(literal 0 binary64))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))))
(acos.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y)))
(acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 z y)))))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) y))))
(*.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) (sqrt.f64 t)) y))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)))
(*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 z y))))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) y)))
x
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) y)
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 z y)))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y)
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1/18 binary64) 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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) y))) #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 z y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) 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 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 z y))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) y)))) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(+.f64 (acos.f64 (*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) y))) #s(literal 0 binary64))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))))
(acos.f64 (*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y)))
(acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 z y)))))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) y))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 x (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) y))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)))
(*.f64 (*.f64 x (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 z y))))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 x (/.f64 (sqrt.f64 t) y)))
(sqrt.f64 t)
t
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 x y))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
#s(literal 1/18 binary64)
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 z y))
x
(*.f64 y z)
(*.f64 z y)
y
z
#s(literal 1 binary64)

localize115.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #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)))
accuracy99.6%
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
accuracy94.9%
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
accuracy91.2%
(/.f64 x (*.f64 y z))
accuracy99.4%
(/.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)))
accuracy96.1%
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t))
accuracy92.4%
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) z) y) (sqrt.f64 t)))
Results
82.0ms256×0valid
Compiler

Compiled 172 to 25 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 21.0ms (33% of total)
compiled-spec: 14.0ms (22% of total)
ival-div: 7.0ms (11% of total)
...c/correct-round.rkt:121:19: 7.0ms (11% of total)
ival-add: 5.0ms (7.9% of total)
ival-acos: 5.0ms (7.9% of total)
ival-sqrt: 2.0ms (3.1% of total)
ival-sub: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series40.0ms (0.3%)

Counts
12 → 468
Calls
Call 1
Inputs
#<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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1 binary64)))>
#<alt (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))>
#<alt (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))>
#<alt (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y 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 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
Outputs
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#<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)))))>
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#<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))))>
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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))))>
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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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))>
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#<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))))>
Calls

129 calls:

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

rewrite417.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
380×log1p-expm1-u
339×prod-diff
220×expm1-log1p-u
216×add-exp-log
216×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033523
1485493
26960493
Stop Event
node limit
Counts
12 → 454
Calls
Call 1
Inputs
(*.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 (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 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y 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 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64))) #s(literal -1/3 binary64))
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))) #s(literal 1 binary64))
(-.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #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) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #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) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #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) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #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) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #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) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))) #s(literal 2 binary64)))
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(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) y)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t))) (neg.f64 y))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal -1/18 binary64) z)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) z) (sqrt.f64 t)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (/.f64 #s(literal 1/324 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 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 z y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))) #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 (/.f64 #s(literal 1/18 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) z)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) z)) #s(literal 2 binary64)))
(*.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)))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/18 binary64))
(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 18 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/18 binary64) z))
(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 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))
(/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 x #s(literal 1/18 binary64))))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) (neg.f64 (*.f64 z y)))
(/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) y)
(/.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (neg.f64 (*.f64 z y)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(/.f64 (*.f64 x (/.f64 #s(literal -1/18 binary64) z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64)) (neg.f64 (*.f64 z y)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 z y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z y)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)))
(pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x (*.f64 z y))) #s(literal 1/18 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(exp.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))

simplify1.1s (7.6%)

Algorithm
egg-herbie
Rules
623×fmm-def
459×cube-prod
380×exp-prod
319×associate-*l*
289×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062656615
1137053379
2513652959
Stop Event
node limit
Counts
922 → 396
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))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.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))))))
(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)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
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(/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t))) y)
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 t)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) x) y)
(pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 1 binary64)) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 z y))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 x)) (neg.f64 (*.f64 z y)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)
(/.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t))) y)
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 t)) (*.f64 z y))
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) x) y)
(pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 t) (*.f64 y (*.f64 z #s(literal 18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) y)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t))) (neg.f64 y))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal -1/18 binary64) z)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 #s(literal -1/18 binary64) z) (sqrt.f64 t)) (neg.f64 y))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (sqrt.f64 t)) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (/.f64 #s(literal 1/324 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 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 z y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))))
(exp.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 (sqrt.f64 t) y))) #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 (/.f64 #s(literal 1/18 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) z)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/18 binary64) z)) #s(literal 2 binary64)))
(*.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)))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/18 binary64))
(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 18 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/18 binary64) z))
(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 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))
(/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 x #s(literal 1/18 binary64))))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) (neg.f64 (*.f64 z y)))
(/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) z)) y)
(/.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (neg.f64 (*.f64 z y)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(/.f64 (*.f64 x (/.f64 #s(literal -1/18 binary64) z)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64)) (neg.f64 (*.f64 z y)))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 z y))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z y)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)))
(pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x (*.f64 z y))) #s(literal 1/18 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(exp.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
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(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(log.f64 (pow.f64 (exp.f64 (/.f64 x (*.f64 z y))) #s(literal 1/18 binary64)))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 3 binary64)))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) #s(literal 3 binary64))))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(exp.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(/.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))

eval63.0ms (0.4%)

Compiler

Compiled 12199 to 2129 computations (82.5% saved)

prune75.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4461447
Fresh000
Picked112
Done033
Total4475452
Accuracy
100.0%
Counts
452 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
100.0%
(+.f64 #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)))
98.5%
(*.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)))))))
100.0%
(*.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))))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
Compiler

Compiled 97 to 77 computations (20.6% saved)

simplify546.0ms (3.8%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))
cost-diff0
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))
cost-diff0
(+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64))
cost-diff256
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
Rules
10064×associate-+r+
1387×+-commutative
1123×associate-+l+
842×fma-define
45×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025330
144330
285324
3181318
4278318
5321318
6400318
7599318
8661318
9673318
10675318
11675318
121096318
131232318
141248318
151264318
161266318
171266318
181266318
192428318
202550318
212571318
222613318
232635318
242637318
252867318
262867318
272867318
286234318
296504318
306534318
316592318
326652318
336716318
346749318
356751318
366751318
377580318
387580318
397580318
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(*.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
#s(literal 1 binary64)
#s(literal 1/3 binary64)
#s(literal -1/3 binary64)
Outputs
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64) #s(literal -1/3 binary64))
(fma.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1/3 binary64) #s(literal -1/3 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64)))
(*.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x)) z) y)) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64))
(*.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1/3 binary64))
(*.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(fma.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))
(fma.f64 (acos.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x)) z) y)) #s(literal 1/3 binary64) #s(literal 1/3 binary64))
(fma.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))
(fma.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))
(fma.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))
(+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x)) z) y)) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 1 binary64))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))
(acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))
(acos.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x)) z) y))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x)) z) y)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(/.f64 (/.f64 #s(literal 1/18 binary64) z) y)
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 t)
t
x
#s(literal 1 binary64)
#s(literal 1/3 binary64)
#s(literal -1/3 binary64)

localize104.0ms (0.7%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
accuracy99.7%
(*.f64 (sqrt.f64 t) x)
accuracy99.2%
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
accuracy86.9%
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))
Results
53.0ms256×0valid
Compiler

Compiled 93 to 18 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 12.0ms (35.9% of total)
...c/correct-round.rkt:121:19: 11.0ms (32.9% of total)
ival-add: 3.0ms (9% of total)
ival-acos: 3.0ms (9% of total)
ival-div: 2.0ms (6% of total)
ival-sqrt: 2.0ms (6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series23.0ms (0.2%)

Counts
6 → 220
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))>
#<alt (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64))>
#<alt (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))>
#<alt (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 z y))>
#<alt (*.f64 (sqrt.f64 t) x)>
Outputs
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))>
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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 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) (/.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 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (/.f64 #s(literal 1/18 binary64) (*.f64 y z))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
Calls

60 calls:

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

rewrite174.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
921×log1p-expm1-u
921×expm1-log1p-u
271×prod-diff
241×fma-define
186×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025232
1317232
24043232
Stop Event
node limit
Counts
6 → 193
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))
(/.f64 #s(literal 1/18 binary64) (*.f64 z y))
(*.f64 (sqrt.f64 t) x)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)))
(*.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))))
(*.f64 (sqrt.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) (sqrt.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))))
(*.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal -1/9 binary64))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal -1/9 binary64)))) (+.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal -1/9 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal -1/9 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal -1/9 binary64)) (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal -1/9 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #s(literal -1/9 binary64))) (neg.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (pow.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1/3 binary64) (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))))
(pow.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (fma.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))))
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(exp.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1/18 binary64))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 z y)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 t) x))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64)))

simplify290.0ms (2%)

Algorithm
egg-herbie
Rules
604×fma-define
309×distribute-rgt-in
305×distribute-lft-in
270×distribute-lft-neg-in
269×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044122535
198521791
2302420493
Stop Event
node limit
Counts
413 → 258
Calls
Call 1
Inputs
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
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(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
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(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
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(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
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(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
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(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64))) #s(literal -1 binary64))
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(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal -1 binary64))) #s(literal -1 binary64))
(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) y) z) (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 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 z (/.f64 y #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (*.f64 z y))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x)) (*.f64 z (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) #s(literal -1/18 binary64)) (*.f64 z (neg.f64 y)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) x) (/.f64 #s(literal 1/18 binary64) z)) y)
(/.f64 (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 z (neg.f64 y)))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) x)) y)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) z) y)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) #s(literal 1 binary64)) (*.f64 z y))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z y)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)))
(pow.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (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) y) z) (sqrt.f64 t)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 y))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1/18 binary64))
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64))
(pow.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 z y)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) x)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 t) x))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) x)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) x)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64)))
Outputs
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
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(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (*.f64 (sqrt.f64 t) x)) y)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) z) y)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) y) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) #s(literal 1 binary64)) (*.f64 z y))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) x) (sqrt.f64 (*.f64 z y))) (sqrt.f64 (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(pow.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(pow.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(log.f64 (exp.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(exp.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 1 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(*.f64 #s(literal -1/18 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (neg.f64 y))))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) #s(literal 1/18 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(*.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 1 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(pow.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(pow.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(neg.f64 (/.f64 #s(literal -1/18 binary64) (*.f64 z y)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(sqrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 2 binary64)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(log.f64 (exp.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(cbrt.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) #s(literal 3 binary64)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(expm1.f64 (log1p.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(exp.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1/18 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1/18 binary64) y) z)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) x)))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) x #s(literal 1 binary64)))
(pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) x)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) x)) #s(literal 3 binary64))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) x)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) x)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) x)
(sqrt.f64 (*.f64 t (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) x))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 t) x))))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) x)
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) x)
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #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 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) x)))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) x #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) x)))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) x)
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) x)))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) x)
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 t) x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 t) x) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) x)

eval36.0ms (0.3%)

Compiler

Compiled 7356 to 1258 computations (82.9% saved)

prune42.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2571258
Fresh000
Picked101
Done134
Total2594263
Accuracy
100.0%
Counts
263 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
98.5%
(*.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)))))))
100.0%
(*.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))))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
Compiler

Compiled 224 to 131 computations (41.5% saved)

regimes47.0ms (0.3%)

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

13 calls:

6.0ms
t
5.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
z
3.0ms
(sqrt.f64 t)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%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))))
100.0%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)))
100.0%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))
100.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
100.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
100.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
100.0%1(*.f64 y #s(literal 27 binary64))
100.0%1(*.f64 z #s(literal 2 binary64))
100.0%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes54.0ms (0.4%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #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 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(+.f64 #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)))
(*.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)))))))
Outputs
(+.f64 #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)))
Calls

13 calls:

6.0ms
(*.f64 z #s(literal 2 binary64))
5.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
3.0ms
(sqrt.f64 t)
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
t
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%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))))
100.0%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)))
100.0%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))
100.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
100.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
100.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
100.0%1(*.f64 y #s(literal 27 binary64))
100.0%1(*.f64 z #s(literal 2 binary64))
100.0%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes34.0ms (0.2%)

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

13 calls:

4.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
3.0ms
t
3.0ms
(sqrt.f64 t)
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%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))))
100.0%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)))
100.0%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))
100.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
100.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
100.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
100.0%1(*.f64 y #s(literal 27 binary64))
100.0%1(*.f64 z #s(literal 2 binary64))
100.0%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes13.0ms (0.1%)

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

5 calls:

4.0ms
(sqrt.f64 t)
2.0ms
x
2.0ms
y
2.0ms
t
2.0ms
z
Results
AccuracySegmentsBranch
98.8%1x
98.8%1y
98.8%1z
98.8%1t
98.8%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes11.0ms (0.1%)

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

5 calls:

3.0ms
x
2.0ms
t
2.0ms
(sqrt.f64 t)
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes7.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1.0ms
z
1.0ms
(sqrt.f64 t)
1.0ms
x
1.0ms
t
1.0ms
y
Results
AccuracySegmentsBranch
97.7%1x
97.7%1y
97.7%1z
97.7%1t
97.7%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Rules
19×*-commutative
+-commutative
1-exp
sub-neg
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058348
187348
290348
392348
493348
Stop Event
saturated
Calls
Call 1
Inputs
(*.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 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)))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(*.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 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Outputs
(*.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 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)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))) #s(literal 1/3 binary64))
(-.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))))) #s(literal 1/3 binary64))
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 z y)) (*.f64 (sqrt.f64 t) x))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (*.f64 x (sqrt.f64 t)))))) #s(literal -1/3 binary64))
(*.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 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 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 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))

soundness1.4s (9.9%)

Rules
1083×log1p-expm1-u
855×fma-define
782×log1p-expm1-u
782×expm1-log1p-u
712×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058347424
1132446424
2454846216
032589
1436589
25446589
021187
1249187
23308187
01001040
1292920
2999824
33700824
44379824
55515824
67072824
033523
1485493
26960493
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 896 to 305 computations (66% saved)

preprocess73.0ms (0.5%)

Remove

(sort y z)

Compiler

Compiled 520 to 356 computations (31.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...