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

Time bar (total: 17.1s)

analyze453.0ms (2.6%)

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

Compiled 24 to 19 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 217.0ms
ival-mult: 102.0ms (47.1% of total)
ival-div: 64.0ms (29.5% of total)
ival-sqrt: 22.0ms (10.2% of total)
ival-acos: 21.0ms (9.7% of total)
const: 7.0ms (3.2% of total)
backward-pass: 1.0ms (0.5% of total)

sample7.0s (40.8%)

Results
2.8s15566×0invalid
1.9s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-mult: 1.8s (50.7% of total)
ival-div: 908.0ms (26.3% of total)
ival-acos: 420.0ms (12.2% of total)
ival-sqrt: 298.0ms (8.6% of total)
const: 65.0ms (1.9% of total)
backward-pass: 9.0ms (0.3% of total)
Bogosity

preprocess155.0ms (0.9%)

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)

explain177.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
280-3(7.819981527446421e-216 -2.5197463126409874e+102 5.672351140707116e-70 1.506428167304217e-300)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
170-0-(*.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
86.0ms512×0valid
Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 21.0ms (45.9% of total)
ival-div: 14.0ms (30.6% of total)
ival-acos: 5.0ms (10.9% of total)
ival-sqrt: 4.0ms (8.7% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 49 to 30 computations (38.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(*.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)

localize62.0ms (0.4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
cost-diff0
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
accuracy99.6%
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
accuracy94.2%
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
accuracy90.3%
(/.f64 (/.f64 x y) z)
Rules
40×associate-*l/
37×associate-*r*
35×associate-*r/
28×associate-*l*
23×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021226
130226
255226
3123226
4200226
5264226
6264226
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
(sqrt.f64 t)
t
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) z))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z) (sqrt.f64 t)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 (*.f64 (/.f64 x y) (sqrt.f64 t)) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) x) y) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
#s(literal 1/18 binary64)
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(/.f64 x (*.f64 y z))
(/.f64 x y)
x
y
z
(sqrt.f64 t)
t
Results
33.0ms256×0valid
Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (43.5% of total)
ival-div: 4.0ms (24.9% of total)
ival-sqrt: 2.0ms (12.4% of total)
ival-acos: 2.0ms (12.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series36.0ms (0.2%)

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

54 calls:

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

rewrite274.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify297.0ms (1.7%)

Algorithm
egg-herbie
Rules
770×fma-neg
588×exp-prod
443×associate-/r*
286×distribute-lft-in
240×cube-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038714975
180314753
2250114739
3697614687
Stop Event
node limit
Counts
366 → 207
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))
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(+.f64 #s(literal 0 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))) (log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 1 binary64))
(*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (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 (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 (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 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
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 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
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(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(exp.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64)))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))

eval369.0ms (2.2%)

Compiler

Compiled 4769 to 956 computations (80% saved)

prune177.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2043207
Fresh000
Picked011
Done000
Total2044208
Accuracy
100.0%
Counts
208 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
99.2%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
97.9%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 73 to 57 computations (21.9% saved)

localize308.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
cost-diff0
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
cost-diff0
(log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
cost-diff12800
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
cost-diff12800
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
cost-diff0
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
cost-diff0
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
cost-diff12864
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
cost-diff12864
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
cost-diff0
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
cost-diff0
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
cost-diff0
(acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
cost-diff0
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
accuracy99.3%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
accuracy94.1%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy91.4%
(/.f64 x (*.f64 y z))
accuracy98.4%
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
accuracy98.4%
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
accuracy94.1%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy91.4%
(/.f64 x (*.f64 y z))
accuracy99.4%
(*.f64 x #s(literal 1/18 binary64))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
accuracy94.2%
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
accuracy91.4%
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
Rules
855×sub-neg
406×neg-sub0
397×fma-define
383×distribute-neg-in
371×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032829
163829
2135829
3252829
4322829
5436829
61112829
71679829
83827829
96554829
107982829
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 3 binary64)
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
#s(literal 1/3 binary64)
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
(*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 y z)
y
z
(sqrt.f64 t)
t
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))
(/.f64 x (*.f64 y z))
(/.f64 (/.f64 x z) y)
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 3 binary64)
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
#s(literal 1/3 binary64)
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(log1p.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))))
(log1p.f64 (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(log1p.f64 (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(log1p.f64 (acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t)))
(acos.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(acos.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y))))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)) (sqrt.f64 t))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (sqrt.f64 t)))
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x z) y)))
(/.f64 x (*.f64 y z))
(/.f64 (/.f64 x z) y)
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
Results
139.0ms256×0valid
Compiler

Compiled 226 to 25 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 14.0ms (34% of total)
ival-div: 5.0ms (12.2% of total)
ival-acos: 5.0ms (12.2% of total)
ival-sqrt: 4.0ms (9.7% of total)
ival-pow: 4.0ms (9.7% of total)
ival-expm1: 3.0ms (7.3% of total)
ival-log1p: 3.0ms (7.3% of total)
ival-cbrt: 2.0ms (4.9% of total)
const: 1.0ms (2.4% of total)
backward-pass: 0.0ms (0% of total)

series602.0ms (3.5%)

Counts
15 → 580
Calls
Call 1
Inputs
#<alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))>
#<alt (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))>
#<alt (*.f64 x #s(literal 1/18 binary64))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))>
#<alt (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))>
#<alt (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))>
#<alt (*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))>
#<alt (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))>
#<alt (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t)))>
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))>
#<alt (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))>
#<alt (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))>
#<alt (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))>
Outputs
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 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))))))>
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#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))))>
#<alt (log.f64 (+.f64 #s(literal 1 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 (log.f64 (+.f64 #s(literal 1 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 (log.f64 (+.f64 #s(literal 1 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 (log.f64 (+.f64 #s(literal 1 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

156 calls:

TimeVariablePointExpression
222.0ms
t
@inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
82.0ms
t
@-inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
43.0ms
x
@0
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
42.0ms
y
@inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
32.0ms
t
@0
(pow (acos (* (/ x (* y z)) (* 1/18 (sqrt t)))) 3)

rewrite277.0ms (1.6%)

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

Useful iterations: 0 (0.0ms)

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

simplify740.0ms (4.3%)

Algorithm
egg-herbie
Rules
801×fma-define
455×cube-prod
416×exp-prod
329×associate-*r*
322×swap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057947424
1130146424
2422246216
Stop Event
node limit
Counts
1024 → 350
Calls
Call 1
Inputs
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
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(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
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(log.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))))
(exp.f64 (log.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
(*.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 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))
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(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))))
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(pow.f64 (cbrt.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 3 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))))
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(pow.f64 (sqrt.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 2 binary64))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))))
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(sqrt.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))) #s(literal 2 binary64)))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))))
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(log.f64 (exp.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))))
(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 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))))
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))) #s(literal 3 binary64)))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))))
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))))
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(log1p.f64 (expm1.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))))
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(exp.f64 (log.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))))
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1 binary64)))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))))
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))) #s(literal 1/3 binary64)))
(acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y))))
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))))
(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))))
(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(*.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1 binary64))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1 binary64) (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))) (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))) #s(literal 2 binary64)))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))) (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(pow.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1 binary64))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))) #s(literal 3 binary64))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(pow.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))) #s(literal 2 binary64))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(sqrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 2 binary64)))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(log.f64 (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))) #s(literal 1 binary64)))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 3 binary64)))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))))
(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))))
(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(exp.f64 (log.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))))) #s(literal 1 binary64)))
(log1p.f64 (acos.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (sqrt.f64 t)) (*.f64 y z))))
(log1p.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 x y)))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))

eval57.0ms (0.3%)

Compiler

Compiled 9045 to 1814 computations (79.9% saved)

prune64.0ms (0.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4172419
Fresh000
Picked123
Done011
Total4185423
Accuracy
100.0%
Counts
423 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(+.f64 #s(literal -1 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)))) #s(literal 1 binary64)))
99.2%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
97.9%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))))
97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
97.9%
(*.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 94 to 74 computations (21.3% saved)

localize490.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
cost-diff0
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
cost-diff0
(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))
cost-diff6528
(+.f64 #s(literal -1 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)))) #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64))
cost-diff6528
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))
cost-diff6528
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64))))
cost-diff6528
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))))
accuracy100.0%
(+.f64 #s(literal -1 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)))) #s(literal 1 binary64)))
accuracy99.3%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy94.1%
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy90.3%
(/.f64 (/.f64 x y) z)
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))))
accuracy94.1%
(*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t))
accuracy90.3%
(/.f64 (/.f64 x y) z)
accuracy38.1%
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))
Rules
5694×associate-+r+
782×+-commutative
720×associate-+l+
455×fma-define
32×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030593
153581
298545
3197545
4345545
5532545
6905545
71003545
81003545
91003545
101674545
111919545
121919545
131919545
144046545
154202545
164202545
174617545
184617545
194617545
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64))
#s(literal 1/18 binary64)
(*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t))
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
(sqrt.f64 t)
t
#s(literal 1 binary64)
(+.f64 #s(literal -1 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)))) #s(literal 1 binary64)))
#s(literal -1 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)))) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 (/.f64 x y) z)
(/.f64 x y)
x
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))) #s(literal 0 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64))))
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1 binary64))))
(acos.f64 (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))) #s(literal 0 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))) #s(literal 0 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))
#s(literal -1 binary64)
(fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)) #s(literal 1 binary64))
#s(literal 1/18 binary64)
(*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t))
(*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t))
(*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))
(*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(/.f64 x (*.f64 y z))
(/.f64 (/.f64 x z) y)
(/.f64 x y)
x
y
z
(sqrt.f64 t)
t
#s(literal 1 binary64)
(+.f64 #s(literal -1 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)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))) #s(literal 0 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))))
#s(literal -1 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)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 z y)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))) #s(literal 1 binary64))
#s(literal 1/3 binary64)
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1 binary64))))
(acos.f64 (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))) #s(literal 0 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))) #s(literal 0 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) y)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(/.f64 x (*.f64 y z))
(/.f64 (/.f64 x z) y)
(/.f64 x y)
x
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 1 binary64)
Results
254.0ms247×1valid
2.0ms0valid
Compiler

Compiled 158 to 22 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 14.0ms (21.7% of total)
ival-fma: 11.0ms (17.1% of total)
backward-pass: 11.0ms (17.1% of total)
ival-acos: 10.0ms (15.5% of total)
ival-div: 9.0ms (14% of total)
ival-add: 5.0ms (7.8% of total)
ival-sqrt: 5.0ms (7.8% of total)
const: 1.0ms (1.6% of total)

series36.0ms (0.2%)

Counts
9 → 432
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))>
#<alt (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))))>
#<alt (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))>
#<alt (+.f64 #s(literal -1 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)))) #s(literal 1 binary64)))>
#<alt (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64))))>
#<alt (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64))>
#<alt (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))>
#<alt (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))>
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 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))>
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Calls

108 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
(* (/ (/ x y) z) (* 1/18 (sqrt t)))
0.0ms
z
@-inf
(* (/ (/ x y) z) (sqrt t))
0.0ms
x
@-inf
(* (/ (/ x y) z) (sqrt t))
0.0ms
y
@-inf
(* (/ (/ x y) z) (sqrt t))
0.0ms
t
@-inf
(+ (* 1/18 (* (/ (/ x y) z) (sqrt t))) 1)

rewrite238.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1213×log1p-expm1-u
212×prod-diff
183×expm1-log1p-u
181×add-exp-log
181×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030437
1402429
25476429
Stop Event
node limit
Counts
9 → 245
Calls
Call 1
Inputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(+.f64 #s(literal -1 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)))) #s(literal 1 binary64)))
(acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 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)))) #s(literal 1 binary64))
(acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 0 binary64)))
(*.f64 (+.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 0 binary64))) (pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 0 binary64))))
(*.f64 (sqrt.f64 (+.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 0 binary64))) (sqrt.f64 (+.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 0 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)))))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(+.f64 (fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
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(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (exp.f64 (log1p.f64 (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 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 binary64))
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(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64)))

simplify422.0ms (2.5%)

Algorithm
egg-herbie
Rules
693×fma-neg
343×distribute-lft-neg-in
327×distribute-rgt-neg-in
252×cube-prod
235×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
060634381
1141933746
2426433719
Stop Event
node limit
Counts
677 → 345
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))))
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(*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (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 (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 (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 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))
(*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
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(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (sqrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(*.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (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)))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.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)) (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(*.f64 (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))))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (+.f64 (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))) (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))) (fma.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (*.f64 (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 #s(literal 1/4 binary64) (PI.f64))) (pow.f64 (cbrt.f64 (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal 6 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))) #s(literal 6 binary64))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(pow.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(pow.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(pow.f64 (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(log.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(exp.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64)))
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y) (/.f64 x z)))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) x) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))

eval129.0ms (0.8%)

Compiler

Compiled 12201 to 2129 computations (82.6% saved)

prune132.0ms (0.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New4604464
Fresh000
Picked112
Done033
Total4618469
Accuracy
100.0%
Counts
469 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(+.f64 #s(literal -1 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)))) #s(literal 1 binary64)))
99.2%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
97.9%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))))
97.9%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
97.9%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
96.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
97.9%
(*.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 157 to 122 computations (22.3% saved)

localize927.0ms (5.4%)

Algorithm
egg-herbie
Localize:

Found 30 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 t)
cost-diff0
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
cost-diff128
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
cost-diff512
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))
cost-diff512
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))))
cost-diff512
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
cost-diff0
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))))
cost-diff384
(+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))
cost-diff384
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))))
cost-diff384
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
cost-diff128
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
cost-diff128
(acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
cost-diff128
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
accuracy99.3%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))))
accuracy95.6%
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy38.1%
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))
accuracy98.8%
(/.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
accuracy93.1%
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
accuracy38.1%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
accuracy96.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))
accuracy91.4%
(/.f64 x (*.f64 y z))
accuracy38.1%
(+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))
accuracy100.0%
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
accuracy100.0%
(acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
accuracy98.4%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
Rules
2174×fma-define
1764×associate-+r+
477×associate-*r/
343×associate-*l/
318×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0491357
11011211
22461175
36911175
418071175
527571175
639011175
746391175
846691175
946691175
1046691175
1148201175
1248271175
1348271175
1448271175
1548271175
1654971175
1770881175
1872881175
1972881175
2072881175
2172881175
2272881175
2372881175
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))))
(+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))
#s(literal -1 binary64)
(*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))
t
(+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))))
#s(literal 1/18 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
(/.f64 x (*.f64 y z))
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))
#s(literal -1 binary64)
(*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))
x
(+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
#s(literal 1/18 binary64)
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(sqrt.f64 t)
t
(/.f64 #s(literal 1 binary64) (*.f64 y z))
#s(literal 1 binary64)
(*.f64 y z)
y
z
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))
#s(literal -1 binary64)
(/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z)
(+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
z
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 x y)
x
y
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(acos.f64 #s(literal 0 binary64))
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal 0 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 (*.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x z) y)))) #s(literal 0 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 (*.f64 t #s(literal 1/18 binary64)) (/.f64 (/.f64 x z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 t (/.f64 (/.f64 x z) y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) (/.f64 t y)))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) t)))))
(acos.f64 (+.f64 (*.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x z) y)))) #s(literal 0 binary64)))
(acos.f64 (*.f64 (*.f64 (*.f64 t #s(literal 1/18 binary64)) (/.f64 (/.f64 x z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 t (/.f64 (/.f64 x z) y)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) (/.f64 t y))))
(+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))
(+.f64 #s(literal -1 binary64) (*.f64 t (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) t))))
(+.f64 (*.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x z) y)))) #s(literal 0 binary64))
(*.f64 (*.f64 (*.f64 t #s(literal 1/18 binary64)) (/.f64 (/.f64 x z) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 t (/.f64 (/.f64 x z) y))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) (/.f64 t y)))
#s(literal -1 binary64)
(*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))
(*.f64 t (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) t)))
(fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x z) y))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 (/.f64 (/.f64 x z) y) (*.f64 t #s(literal 1/18 binary64))) #s(literal 1 binary64))
(fma.f64 t (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) #s(literal 1 binary64))
t
(+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))) (/.f64 #s(literal 1 binary64) t))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x z) y)) (/.f64 #s(literal 1 binary64) t))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x z) y)) (/.f64 #s(literal 1 binary64) t))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x y) z)) (/.f64 #s(literal 1 binary64) t))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x z) y)))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))))
#s(literal 1/18 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x z) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (/.f64 x y) z))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
(/.f64 x (*.f64 y z))
(/.f64 (/.f64 x z) y)
(/.f64 (/.f64 x y) z)
x
(*.f64 y z)
y
z
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 0 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x z) y) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x)))))
(acos.f64 (+.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 0 binary64)))
(acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x z) y) (sqrt.f64 t))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 0 binary64))
(*.f64 x (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x z) y) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)))
#s(literal -1 binary64)
(*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (/.f64 x z) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x z) y) (sqrt.f64 t)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))
x
(+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y))
#s(literal 1/18 binary64)
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(/.f64 (sqrt.f64 t) (*.f64 y z))
(sqrt.f64 t)
t
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
#s(literal 1 binary64)
(*.f64 y z)
y
z
(/.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) y) z) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z) z))))
#s(literal 1/3 binary64)
(acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z)))
(acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) z)))
(acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) y) z) z)))
(acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z) z)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) z))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) y) z) z))
(+.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z) z))
#s(literal -1 binary64)
(/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z)
(/.f64 (fma.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z) z)
(/.f64 (fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) y) z) z)
(/.f64 (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z) z)
(+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(fma.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(fma.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) y) z)
(fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z)
z
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) y))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (sqrt.f64 t)) y))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)))
(/.f64 x y)
x
y
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
Results
257.0ms146×2valid
97.0ms101×1valid
4.0ms0valid
Compiler

Compiled 383 to 41 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-mult: 61.0ms (33.1% of total)
backward-pass: 33.0ms (17.9% of total)
ival-div: 31.0ms (16.8% of total)
ival-add: 25.0ms (13.6% of total)
ival-acos: 22.0ms (11.9% of total)
ival-sqrt: 11.0ms (6% of total)
const: 2.0ms (1.1% of total)

series97.0ms (0.6%)

Counts
19 → 440
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))>
#<alt (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))>
#<alt (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))>
#<alt (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 y z))>
#<alt (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))>
#<alt (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))))>
#<alt (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))))>
#<alt (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))>
#<alt (/.f64 x y)>
#<alt (sqrt.f64 t)>
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 (*.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))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (-.f64 (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))>
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#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (acos.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

162 calls:

TimeVariablePointExpression
4.0ms
t
@-inf
(* 1/18 (* (sqrt t) (/ 1 (* y z))))
4.0ms
z
@0
(+ -1 (* x (+ (* 1/18 (* (sqrt t) (/ 1 (* y z)))) (/ 1 x))))
3.0ms
x
@inf
(* (/ x y) (* 1/18 (sqrt t)))
2.0ms
t
@-inf
(+ -1 (* x (+ (* 1/18 (* (sqrt t) (/ 1 (* y z)))) (/ 1 x))))
2.0ms
z
@inf
(+ -1 (* x (+ (* 1/18 (* (sqrt t) (/ 1 (* y z)))) (/ 1 x))))

rewrite287.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
389×log1p-expm1-u
389×expm1-log1p-u
381×add-log-exp
380×add-exp-log
379×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049778
1838696
Stop Event
node limit
Counts
19 → 291
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
(acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (*.f64 y z))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t)))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z))))
(acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
(/.f64 x y)
(sqrt.f64 t)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 #s(literal 0 binary64)))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 #s(literal 0 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (acos.f64 #s(literal 0 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 #s(literal 0 binary64))))
(*.f64 (sqrt.f64 (acos.f64 #s(literal 0 binary64))) (sqrt.f64 (acos.f64 #s(literal 0 binary64))))
(pow.f64 (acos.f64 #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 #s(literal 0 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (acos.f64 #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 #s(literal 0 binary64)))))
(cbrt.f64 (pow.f64 (acos.f64 #s(literal 0 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (acos.f64 #s(literal 0 binary64))))
(exp.f64 (log.f64 (acos.f64 #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (acos.f64 #s(literal 0 binary64))) #s(literal 1 binary64)))
#s(literal 0 binary64)
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64))))))
(pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/5832 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 t))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 t))
(*.f64 (cbrt.f64 t) (cbrt.f64 (sqrt.f64 t)))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 t))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 t) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 t)))
(pow.f64 t #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 t))))
(cbrt.f64 (pow.f64 t #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 t)))
(log1p.f64 (expm1.f64 (sqrt.f64 t)))
(exp.f64 (log.f64 (sqrt.f64 t)))
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 t)) #s(literal 1 binary64)))

simplify563.0ms (3.3%)

Algorithm
egg-herbie
Rules
614×fma-define
378×exp-prod
330×cube-prod
309×associate-*r*
288×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066435447
1126133369
2388532051
Stop Event
node limit
Counts
731 → 449
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))))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z)) #s(literal 3 binary64)) #s(literal 1/5832 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 t #s(literal -1/2 binary64))) (/.f64 (/.f64 x y) z)) #s(literal 1/18 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z)) #s(literal 3 binary64)) #s(literal 1/5832 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 t #s(literal -1/2 binary64)) (/.f64 (/.f64 x y) z)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))))) (sqrt.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))))))
(pow.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))))) #s(literal 2 binary64))
(log.f64 (exp.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64)))))))
(cbrt.f64 (pow.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))))))
(log1p.f64 (expm1.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))))))
(exp.f64 (log.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/5832 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1/18 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/5832 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 t))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 t))
(*.f64 (cbrt.f64 t) (cbrt.f64 (sqrt.f64 t)))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 t))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 t) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 t)))
(pow.f64 t #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 t) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 t)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 t))))
(cbrt.f64 (pow.f64 t #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 t)))
(log1p.f64 (expm1.f64 (sqrt.f64 t)))
(exp.f64 (log.f64 (sqrt.f64 t)))
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 t)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)) #s(literal -1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)) #s(literal -1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)) #s(literal -1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) x))
(*.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x z)) #s(literal -1/18 binary64))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z)
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z)))
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(exp.f64 (*.f64 (log.f64 (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y z))))
(acos.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) (*.f64 #s(literal 1/18 binary64) x)))
(acos.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) x) y)) z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z))
(pow.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/5832 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 3 binary64)) #s(literal 1/5832 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/5832 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z))
(log.f64 (pow.f64 (exp.f64 (/.f64 (sqrt.f64 t) (*.f64 y z))) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/5832 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 t) y) z) #s(literal 3 binary64)) #s(literal 1/5832 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))))
(+.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)) #s(literal 1 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 #s(literal 1/18 binary64) z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x y))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 x y)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(/.f64 x y)
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(/.f64 x y)
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(/.f64 x y)
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x y)
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(/.f64 x y)
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 x y)
(log.f64 (exp.f64 (/.f64 x y)))
(/.f64 x y)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(/.f64 x y)
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(/.f64 x y)
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 x y)
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (log.f64 (/.f64 x y)))
(/.f64 x y)
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(/.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 t))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 t)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 t))
(neg.f64 (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 t)
(*.f64 (cbrt.f64 t) (cbrt.f64 (sqrt.f64 t)))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 t #s(literal 1/4 binary64)))
(neg.f64 (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 t)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 t))
(neg.f64 (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 t)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 t) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 t)))
(*.f64 (fabs.f64 (cbrt.f64 t)) (sqrt.f64 (cbrt.f64 t)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 t) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 t)))
(*.f64 (fabs.f64 (cbrt.f64 t)) (sqrt.f64 (cbrt.f64 t)))
(pow.f64 t #s(literal 1/2 binary64))
(neg.f64 (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 t)
(pow.f64 (sqrt.f64 t) #s(literal 1 binary64))
(neg.f64 (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 t)
(pow.f64 (cbrt.f64 (sqrt.f64 t)) #s(literal 3 binary64))
(neg.f64 (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 t)
(pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 t #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 t)
(log.f64 (exp.f64 (sqrt.f64 t)))
(neg.f64 (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 t)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 t))))
(neg.f64 (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 t)
(cbrt.f64 (pow.f64 t #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 t)))
(log1p.f64 (expm1.f64 (sqrt.f64 t)))
(neg.f64 (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 t)
(exp.f64 (log.f64 (sqrt.f64 t)))
(neg.f64 (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 t)
(exp.f64 (*.f64 (log.f64 t) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 t)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 t)) #s(literal 1 binary64)))
(neg.f64 (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(sqrt.f64 t)

eval81.0ms (0.5%)

Compiler

Compiled 11990 to 2986 computations (75.1% saved)

prune149.0ms (0.9%)

Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New5402542
Fresh000
Picked314
Done044
Total5437550
Accuracy
100.0%
Counts
550 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(+.f64 #s(literal -1 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)))) #s(literal 1 binary64)))
98.0%
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)) #s(literal 1 binary64)))
99.2%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
97.9%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) z))))
97.7%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
97.9%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
96.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
Compiler

Compiled 304 to 177 computations (41.8% saved)

regimes58.0ms (0.3%)

Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) 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 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) (/.f64 #s(literal 1 binary64) x))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (*.f64 t (+.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 x (*.f64 y z)))) (/.f64 #s(literal 1 binary64) t))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (/.f64 x y) z) (sqrt.f64 t)) #s(literal 1 binary64)))))
(+.f64 #s(literal -1 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)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
Outputs
(+.f64 #s(literal -1 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)))) #s(literal 1 binary64)))
Calls

13 calls:

6.0ms
y
6.0ms
(*.f64 y #s(literal 27 binary64))
5.0ms
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
4.0ms
(*.f64 z #s(literal 2 binary64))
4.0ms
z
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 108 computations (20% saved)

regimes50.0ms (0.3%)

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

13 calls:

6.0ms
x
5.0ms
(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
5.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
3.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
(sqrt.f64 t)
Results
AccuracySegmentsBranch
98.0%1x
98.0%1y
98.0%1z
98.0%1t
98.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.0%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.0%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.0%1(*.f64 y #s(literal 27 binary64))
98.0%1(*.f64 z #s(literal 2 binary64))
98.0%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

2.0ms
x
1.0ms
z
1.0ms
t
1.0ms
y
Results
AccuracySegmentsBranch
96.5%1x
96.5%1y
96.5%1z
96.5%1t
Compiler

Compiled 20 to 16 computations (20% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Rules
1-exp
*-commutative
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03089
13989
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 #s(literal -1 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)))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))
Outputs
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 #s(literal 0 binary64)))

soundness2.4s (13.8%)

Rules
1083×log1p-expm1-u
801×fma-define
770×fma-neg
694×fma-define
614×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049778
1838696
066435447
1126133369
2388532051
038714975
180314753
2250114739
3697614687
057947424
1130146424
2422246216
032589
1436589
25446589
01001040
1292920
2999824
33700824
44379824
55515824
67072824
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1032 to 397 computations (61.5% saved)

preprocess41.0ms (0.2%)

Remove

(sort y z)

Compiler

Compiled 190 to 142 computations (25.3% saved)

end0.0ms (0%)

Profiling

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