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

Time bar (total: 12.9s)

analyze447.0ms (3.5%)

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 20 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 222.0ms
ival-mult: 102.0ms (45.9% of total)
ival-div: 67.0ms (30.2% of total)
ival-sqrt: 23.0ms (10.4% of total)
ival-acos: 21.0ms (9.5% of total)
const: 8.0ms (3.6% of total)

sample6.0s (46.4%)

Results
2.9s15565×0invalid
1.6s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.2s
ival-mult: 1.4s (44.4% of total)
ival-div: 952.0ms (30% of total)
ival-sqrt: 371.0ms (11.7% of total)
ival-acos: 349.0ms (11% of total)
const: 82.0ms (2.6% of total)
backward-pass: 10.0ms (0.3% of total)
Bogosity

preprocess158.0ms (1.2%)

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

Useful iterations: 2 (0.0ms)

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

(sort y z)

explain539.0ms (4.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
271(-1.4280306316063375e-206 -1.2890390726263117e+260 1.2533251375563499e-144 3.46747737480591e-144)1(-2.7855281602862767e-236 -2.404197050219025e+86 -6.151076877909547e-47 2.6378303953255937e-13)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
180-5(9.702559853774067e-119 -3.489469661533492e+261 7.18683140269131e-62 1.2180858374610668e+154)(*.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-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))
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-t
Results
321.0ms512×256valid
Compiler

Compiled 213 to 151 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 218.0ms
ival-mult: 144.0ms (66.2% of total)
ival-div: 49.0ms (22.5% of total)
ival-acos: 11.0ms (5.1% of total)
const: 8.0ms (3.7% of total)
ival-sqrt: 4.0ms (1.8% of total)

eval1.0ms (0%)

Compiler

Compiled 49 to 34 computations (30.6% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(*.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)

localize142.0ms (1.1%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.5%
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
94.3%
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
90.3%
(/.f64 (/.f64 x y) z)
Results
54.0ms256×256valid
Compiler

Compiled 62 to 25 computations (59.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 16.0ms (54.7% of total)
ival-acos: 6.0ms (20.5% of total)
ival-div: 4.0ms (13.7% of total)
ival-sqrt: 2.0ms (6.8% of total)
const: 1.0ms (3.4% of total)

series63.0ms (0.5%)

Counts
4 → 168
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 x y) z)>
#<alt (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))>
#<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 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))>
Outputs
#<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))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/18 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)))>
Calls

42 calls:

TimeVariablePointExpression
32.0ms
y
@-inf
(* 1/3 (acos (* (* 1/18 (/ (/ x y) z)) (sqrt t))))
3.0ms
x
@0
(* (* 1/18 (/ (/ x y) z)) (sqrt t))
3.0ms
t
@-inf
(* (* 1/18 (/ (/ x y) z)) (sqrt t))
1.0ms
t
@0
(* (* 1/18 (/ (/ x y) z)) (sqrt t))
1.0ms
y
@0
(/ (/ x y) z)

rewrite257.0ms (2%)

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
021142
1249142
23308142
Stop Event
node limit
Counts
4 → 112
Calls
Call 1
Inputs
(/.f64 (/.f64 x y) z)
(*.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 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
Outputs
(+.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)))
(+.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 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.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 (/.f64 x y) #s(literal 1/18 binary64))) z)
(/.f64 (*.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (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 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.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 (*.f64 x #s(literal 1/18 binary64)) (*.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 (*.f64 x #s(literal 1/18 binary64)) (*.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 1/3 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 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.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 (/.f64 x y) #s(literal 1/18 binary64))))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (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 (/.f64 x y) #s(literal 1/18 binary64)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 1 binary64)))

simplify184.0ms (1.4%)

Algorithm
egg-herbie
Rules
883×fma-define
709×fma-neg
441×associate-/r*
440×associate-/l*
352×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029210355
160010291
2192510283
3769310283
Stop Event
node limit
Counts
280 → 154
Calls
Call 1
Inputs
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(+.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 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))) (cbrt.f64 (exp.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.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 (/.f64 x y) #s(literal 1/18 binary64))))
(/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) z)
(/.f64 (neg.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64))) (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 (/.f64 x y) #s(literal 1/18 binary64)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 1 binary64)))
Outputs
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(/.f64 x (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
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(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
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(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
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(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
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(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) #s(literal 1 binary64)) z)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 (*.f64 (/.f64 x y) #s(literal 1/18 binary64)) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 1 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 3 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(pow.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 2 binary64))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 2 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(log.f64 (exp.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)))))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) #s(literal 3 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(exp.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))) #s(literal 1 binary64)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))

eval52.0ms (0.4%)

Compiler

Compiled 2885 to 1638 computations (43.2% saved)

prune30.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1504154
Fresh000
Picked011
Done000
Total1505155
Accuracy
100.0%
Counts
155 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(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))
97.9%
(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))
99.3%
(-.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))
97.9%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
97.8%
(*.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 95 to 75 computations (21.1% saved)

localize390.0ms (3%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
98.5%
(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))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
94.4%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
92.1%
(/.f64 x (*.f64 y z))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
98.5%
(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))))))
94.4%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
92.1%
(/.f64 x (*.f64 y z))
98.5%
(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))))))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
94.4%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
92.1%
(/.f64 x (*.f64 y z))
99.4%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
94.4%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
92.1%
(/.f64 x (*.f64 y z))
Results
256.0ms256×256valid
Compiler

Compiled 330 to 136 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-mult: 93.0ms (45.5% of total)
ival-acos: 40.0ms (19.6% of total)
composed: 20.0ms (9.8% of total)
ival-log: 13.0ms (6.4% of total)
ival-exp: 7.0ms (3.4% of total)
ival-pow: 7.0ms (3.4% of total)
const: 6.0ms (2.9% of total)
ival-sqrt: 6.0ms (2.9% of total)
ival-add: 4.0ms (2% of total)
ival-cbrt: 4.0ms (2% of total)
ival-div: 2.0ms (1% of total)
ival-sub: 2.0ms (1% of total)

series436.0ms (3.4%)

Counts
16 → 532
Calls
Call 1
Inputs
#<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 1/3 binary64) (acos.f64 (*.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))>
#<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 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))>
#<alt (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))))))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))>
#<alt (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))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))>
#<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 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))>
#<alt (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))>
Outputs
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
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Calls

171 calls:

TimeVariablePointExpression
84.0ms
t
@-inf
(log (+ 1 (* 1/3 (acos (* (/ x (* y z)) (* 1/18 (sqrt t)))))))
53.0ms
y
@inf
(log (+ 1 (* 1/3 (acos (* (/ x (* y z)) (* 1/18 (sqrt t)))))))
38.0ms
x
@0
(log (+ 1 (* 1/3 (acos (* (/ x (* y z)) (* 1/18 (sqrt t)))))))
30.0ms
x
@inf
(log (+ 1 (* 1/3 (acos (* (/ x (* y z)) (* 1/18 (sqrt t)))))))
25.0ms
t
@inf
(log (+ 1 (* 1/3 (acos (* (/ x (* y z)) (* 1/18 (sqrt t)))))))

rewrite226.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
859×log1p-expm1-u
859×expm1-log1p-u
346×prod-diff
253×log1p-undefine
135×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026631
1324631
23803631
Stop Event
node limit
Counts
16 → 438
Calls
Call 1
Inputs
(/.f64 x (*.f64 y z))
(*.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 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(/.f64 x (*.f64 y z))
(*.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 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(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))))))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(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))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(/.f64 x (*.f64 y z))
(*.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 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(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))
Outputs
(-.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 (/.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 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) (sqrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) x)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))) (/.f64 x (sqrt.f64 (*.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) z))
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(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 (*.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)))))) (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 1/4 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 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(*.f64 (*.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)))))) (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))))))) (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 1/6 binary64)))
(*.f64 (*.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)))))) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(*.f64 (*.f64 (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 2 binary64)) #s(literal 1 binary64)) (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)))))))
(*.f64 (*.f64 (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 2 binary64)) (cbrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
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(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (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 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
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(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)))
(fma.f64 #s(literal 1 binary64) (fma.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)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.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))) (cbrt.f64 (fma.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)))) (cbrt.f64 (fma.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))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.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))) (sqrt.f64 (fma.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))) #s(literal -1 binary64))

simplify684.0ms (5.3%)

Algorithm
egg-herbie
Rules
758×fma-define
608×associate-/r*
496×fma-neg
317×cube-prod
270×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03714295011585
17404295010859
224314295009449
368434295009441
Stop Event
node limit
Counts
970 → 229
Calls
Call 1
Inputs
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(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(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 x (*.f64 y z)) #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 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 (fma.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)) #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 (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))
(pow.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)) #s(literal 1/2 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))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (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 (/.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)))
(fma.f64 #s(literal 1 binary64) (fma.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)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.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))) (cbrt.f64 (fma.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)))) (cbrt.f64 (fma.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))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.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))) (sqrt.f64 (fma.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))) #s(literal -1 binary64))
(-.f64 (fma.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)) #s(literal 1 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 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1/3 binary64))
(*.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 (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)))))) (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 2 binary64)))
(*.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)))))) (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)))))))
(*.f64 #s(literal 1 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 (pow.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1/3 binary64)))
(*.f64 (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 2 binary64)) (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)))))))
(*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (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))))))))
(*.f64 (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1/3 binary64)))
(*.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 1/4 binary64)) (*.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 1/4 binary64)) (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))))))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/3 binary64)) #s(literal 2 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 1/3 binary64))) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 (*.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)))))) (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 1/4 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 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(*.f64 (*.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)))))) (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))))))) (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 1/6 binary64)))
(*.f64 (*.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)))))) (sqrt.f64 #s(literal 1/3 binary64))) (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(*.f64 (*.f64 (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 2 binary64)) #s(literal 1 binary64)) (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)))))))
(*.f64 (*.f64 (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 2 binary64)) (cbrt.f64 #s(literal 1/3 binary64))) (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(*.f64 (*.f64 (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 2 binary64)) (pow.f64 (cbrt.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 2 binary64))) (cbrt.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))))))))
(*.f64 (*.f64 (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 2 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 1/6 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 1/6 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (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 (/.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)))
(fma.f64 #s(literal 1 binary64) (fma.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)) #s(literal -1 binary64))
(fma.f64 (*.f64 (cbrt.f64 (fma.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))) (cbrt.f64 (fma.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)))) (cbrt.f64 (fma.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))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.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))) (sqrt.f64 (fma.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))) #s(literal -1 binary64))
Outputs
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 #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)) (pow.f64 (cbrt.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 2 binary64))) (cbrt.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))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))))
(*.f64 (*.f64 (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 2 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 1/6 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 1/6 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(fabs.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x))))))
(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))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))))
(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))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))))
(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)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))))
(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)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))))
(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)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))))
(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)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))))
(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 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))))
(fma.f64 #s(literal 1 binary64) (fma.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)) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))))
(fma.f64 (*.f64 (cbrt.f64 (fma.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))) (cbrt.f64 (fma.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)))) (cbrt.f64 (fma.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))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))))
(fma.f64 (sqrt.f64 (fma.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))) (sqrt.f64 (fma.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))) #s(literal -1 binary64))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) (/.f64 z x)))))

eval413.0ms (3.2%)

Compiler

Compiled 12158 to 7213 computations (40.7% saved)

prune168.0ms (1.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New6052607
Fresh000
Picked134
Done011
Total6066612
Accuracy
100.0%
Counts
612 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(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))
97.9%
(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))
99.4%
(-.f64 (fma.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)) #s(literal 1 binary64))
99.2%
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y))))) #s(literal 1 binary64))
97.9%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
97.8%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 115 to 91 computations (20.9% saved)

localize273.0ms (2.1%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.9%
(-.f64 (fma.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)) #s(literal 1 binary64))
99.4%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
94.4%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
92.1%
(/.f64 x (*.f64 y z))
98.5%
(log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y))))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)))
95.8%
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
93.9%
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)
Results
200.0ms256×256valid
Compiler

Compiled 184 to 98 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-mult: 57.0ms (32.9% of total)
composed: 29.0ms (16.8% of total)
ival-div: 26.0ms (15% of total)
ival-acos: 24.0ms (13.9% of total)
ival-log: 15.0ms (8.7% of total)
ival-add: 7.0ms (4% of total)
ival-exp: 6.0ms (3.5% of total)
const: 4.0ms (2.3% of total)
ival-sub: 3.0ms (1.7% of total)
ival-sqrt: 3.0ms (1.7% of total)

series90.0ms (0.7%)

Counts
5 → 228
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)>
#<alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)))>
#<alt (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y))))>
#<alt (-.f64 (fma.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)) #s(literal 1 binary64))>
Outputs
#<alt (*.f64 #s(literal 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 (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))))>
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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))))))>
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#<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))))))>
Calls

57 calls:

TimeVariablePointExpression
68.0ms
t
@0
(/ (* x (* 1/18 (sqrt t))) z)
1.0ms
t
@-inf
(/ (* x (* 1/18 (sqrt t))) z)
1.0ms
x
@0
(/ (* x (* 1/18 (sqrt t))) z)
1.0ms
z
@0
(/ (* x (* 1/18 (sqrt t))) z)
1.0ms
x
@inf
(/ (* x (* 1/18 (sqrt t))) z)

rewrite252.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1152×log1p-expm1-u
375×prod-diff
170×expm1-log1p-u
168×pow1
167×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030230
1425230
25391230
Stop Event
node limit
Counts
5 → 238
Calls
Call 1
Inputs
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)))
(log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y))))
(-.f64 (fma.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)) #s(literal 1 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 1 binary64))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y))
(*.f64 x (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 #s(literal 1 binary64) y)))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.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 x (*.f64 z y))))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))) #s(literal 1 binary64))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) (cbrt.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) (*.f64 t #s(literal 1/324 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) (*.f64 t #s(literal 1/324 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) y))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (cbrt.f64 (*.f64 t #s(literal 1/324 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (/.f64 x (*.f64 z y))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) (*.f64 z y)))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 z y))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 z y))) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) (/.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) y))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) (*.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (/.f64 x (*.f64 z y))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) (*.f64 z y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) y))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))) (sqrt.f64 t))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 z y)))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 x y))
(*.f64 (/.f64 x z) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z y)))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) y))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (cbrt.f64 (*.f64 z y))))
(*.f64 (/.f64 x (sqrt.f64 (*.f64 z y))) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (sqrt.f64 (*.f64 z y))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (sqrt.f64 (*.f64 z y))) (/.f64 x (sqrt.f64 (*.f64 z y))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 1 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (*.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (cbrt.f64 (*.f64 z y))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z y))) (/.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x)) (sqrt.f64 (*.f64 z y))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 x #s(literal 2 binary64)))) z) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) y))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 x #s(literal 2 binary64)))) y) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) z))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) (*.f64 z y)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 z y)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (*.f64 z y))) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) (sqrt.f64 (*.f64 z y))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) z) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))) y))
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(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) #s(literal -1 binary64))

simplify289.0ms (2.2%)

Algorithm
egg-herbie
Rules
575×fma-define
416×distribute-lft-neg-in
401×cube-prod
382×associate-*r*
378×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051524826
1123724574
2453824514
Stop Event
node limit
Counts
466 → 306
Calls
Call 1
Inputs
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))))
(*.f64 (sqrt.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) (*.f64 (sqrt.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 2 binary64))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (cbrt.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 2 binary64))) (cbrt.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))))
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) (sqrt.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) #s(literal -1 binary64))
Outputs
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.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 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
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(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 2 binary64))))
(*.f64 (/.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 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (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 2 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal -1/3 binary64) #s(literal -2 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 1 binary64))
(*.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 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) #s(literal 3 binary64))
(*.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 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.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 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) #s(literal 2 binary64))
(*.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 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(fabs.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x 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 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y)))))) #s(literal 3 binary64)))
(*.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 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x 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 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))))) #s(literal 1 binary64)))
(*.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 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.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 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.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 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(fma.f64 (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.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 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))

eval375.0ms (2.9%)

Compiler

Compiled 10072 to 6186 computations (38.6% saved)

prune95.0ms (0.7%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4201421
Fresh000
Picked112
Done044
Total4216427
Accuracy
100.0%
Counts
427 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(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))
97.9%
(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))
99.2%
(-.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 1 binary64)) #s(literal 1 binary64))
99.4%
(-.f64 (fma.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)) #s(literal 1 binary64))
97.9%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
97.8%
(*.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 114 to 90 computations (21.1% saved)

localize205.0ms (1.6%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
99.6%
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
99.4%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
95.8%
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
93.9%
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)
Results
93.0ms256×256valid
Compiler

Compiled 83 to 49 computations (41% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 26.0ms (37% of total)
ival-div: 17.0ms (24.2% of total)
ival-acos: 9.0ms (12.8% of total)
composed: 8.0ms (11.4% of total)
ival-sqrt: 4.0ms (5.7% of total)
ival-add: 3.0ms (4.3% of total)
const: 2.0ms (2.8% of total)
ival-sub: 1.0ms (1.4% of total)

series4.0ms (0%)

Counts
1 → 24
Calls
Call 1
Inputs
#<alt (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))>
Outputs
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
Calls

6 calls:

TimeVariablePointExpression
1.0ms
t
@-inf
(* x (* 1/18 (sqrt t)))
1.0ms
x
@0
(* x (* 1/18 (sqrt t)))
1.0ms
x
@inf
(* x (* 1/18 (sqrt t)))
0.0ms
t
@0
(* x (* 1/18 (sqrt t)))
0.0ms
t
@inf
(* x (* 1/18 (sqrt t)))

rewrite71.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
495×unpow-prod-down
422×log1p-expm1-u
422×expm1-log1p-u
405×add-exp-log
385×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01223
110823
2119923
Stop Event
node limit
Counts
1 → 21
Calls
Call 1
Inputs
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))))
(sqrt.f64 (*.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))))
(cbrt.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))) #s(literal 2 binary64)))

simplify92.0ms (0.7%)

Algorithm
egg-herbie
Rules
1008×fma-neg
564×div-sub
362×associate-*r*
315×distribute-lft-in
301×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821241
11461241
23041241
37041241
415211241
535991241
657551241
Stop Event
node limit
Counts
45 → 28
Calls
Call 1
Inputs
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))))
(sqrt.f64 (*.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))))
(cbrt.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) x))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) x))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))) #s(literal 3 binary64))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))
(pow.f64 (*.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))
(pow.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))) #s(literal 2 binary64))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))) (sqrt.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))))
(sqrt.f64 (*.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x #s(literal 1/18 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) x)))
(cbrt.f64 (*.f64 #s(literal 1/5832 binary64) (pow.f64 (*.f64 (sqrt.f64 t) x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))) #s(literal 3 binary64)))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))) #s(literal 1/3 binary64)))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))))) #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 (*.f64 t #s(literal 1/324 binary64))))

eval194.0ms (1.5%)

Compiler

Compiled 5467 to 3475 computations (36.4% saved)

prune56.0ms (0.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2500250
Fresh000
Picked011
Done055
Total2506256
Accuracy
100.0%
Counts
256 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(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))
97.9%
(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))
99.2%
(-.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 1 binary64)) #s(literal 1 binary64))
99.4%
(-.f64 (fma.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)) #s(literal 1 binary64))
97.9%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
97.8%
(*.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 261 to 185 computations (29.1% saved)

regimes85.0ms (0.7%)

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 x (*.f64 y z)) (*.f64 #s(literal 1/18 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 (fma.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)) #s(literal 1 binary64))
(-.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 1 binary64)) #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 (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))
(-.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))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y))))) #s(literal 1 binary64))
Outputs
(-.f64 (fma.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)) #s(literal 1 binary64))
Calls

13 calls:

51.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
4.0ms
t
4.0ms
(sqrt.f64 t)
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1z
99.4%1t
99.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
99.4%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
99.4%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
99.4%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.4%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.4%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.4%1(*.f64 y #s(literal 27 binary64))
99.4%1(*.f64 z #s(literal 2 binary64))
99.4%1(sqrt.f64 t)
Compiler

Compiled 135 to 109 computations (19.3% saved)

regimes22.0ms (0.2%)

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

13 calls:

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

Compiled 135 to 109 computations (19.3% saved)

regimes4.0ms (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:

2.0ms
y
0.0ms
(sqrt.f64 t)
0.0ms
x
0.0ms
t
0.0ms
z
Results
AccuracySegmentsBranch
97.8%1x
97.8%1y
97.8%1z
97.8%1t
97.8%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify5.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
1-exp
unsub-neg
sub-neg
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031161
145161
249161
352161
455161
558161
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (fma.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)) #s(literal 1 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 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Outputs
(-.f64 (fma.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)) #s(literal 1 binary64))
(+.f64 (fma.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)) #s(literal -1 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 #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)))))

soundness550.0ms (4.3%)

Rules
883×fma-define
859×log1p-expm1-u
859×expm1-log1p-u
709×fma-neg
694×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026631
1324631
23803631
029210355
160010291
2192510283
3769310283
01001040
1292920
2999824
33700824
44379824
55515824
67072824
Stop Event
done
node limit
node limit
node limit
Compiler

Compiled 207 to 127 computations (38.6% saved)

preprocess64.0ms (0.5%)

Remove

(sort y z)

Compiler

Compiled 300 to 228 computations (24% saved)

end0.0ms (0%)

Profiling

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