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

Time bar (total: 15.8s)

analyze851.0ms (5.4%)

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

Compiled 24 to 19 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 620.0ms
ival-sqrt: 426.0ms (68.7% of total)
ival-mult: 103.0ms (16.6% of total)
ival-div: 60.0ms (9.7% of total)
ival-acos: 23.0ms (3.7% of total)
const: 7.0ms (1.1% of total)
backward-pass: 1.0ms (0.2% of total)

sample5.7s (36.2%)

Results
3.0s15650×0invalid
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.2s
ival-mult: 1.6s (49% of total)
ival-div: 832.0ms (25.9% of total)
ival-acos: 429.0ms (13.4% of total)
ival-sqrt: 304.0ms (9.5% of total)
const: 62.0ms (1.9% of total)
backward-pass: 9.0ms (0.3% of total)
Bogosity

preprocess162.0ms (1%)

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)

explain326.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
251(8.75664417376805e-295 -4.665987006460902e+280 -5.8300013495120384e-254 4.3987544643145837e-187)1(-1.3898975154208922e-241 -1.2276554622678383e+76 -6.03052219908715e-50 2.876750276140171e+30)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
170-1(-6.502723379643713e-290 -4.359721052474122e+141 -2.1230959824756683e-123 2.654292123829748e+67)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
10-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-x
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-(sqrt.f64 t)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-#s(literal 27 binary64)
00-0-y
00-0-(*.f64 y #s(literal 27 binary64))
00-0-(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
00-0-#s(literal 1 binary64)
00-0-#s(literal 3 binary64)
00-0-t
Results
267.0ms512×0valid
Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 17.0ms (43.1% of total)
ival-div: 12.0ms (30.4% of total)
ival-acos: 5.0ms (12.7% of total)
ival-sqrt: 4.0ms (10.1% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 49 to 30 computations (38.8% saved)

prune1.0ms (0%)

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

Compiled 17 to 13 computations (23.5% saved)

localize72.0ms (0.5%)

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))))
accuracy99.5%
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
accuracy94.3%
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
accuracy91.0%
(/.f64 (/.f64 x y) z)
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
40.0ms256×0valid
Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
...c/correct-round.rkt:125:19: 9.0ms (39.4% of total)
ival-mult: 5.0ms (21.9% of total)
ival-div: 4.0ms (17.5% of total)
ival-sqrt: 2.0ms (8.7% of total)
ival-acos: 2.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series71.0ms (0.5%)

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))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 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
37.0ms
y
@inf
(* (* 1/18 (/ (/ x y) z)) (sqrt t))
3.0ms
t
@-inf
(* (* 1/18 (/ (/ x y) z)) (sqrt t))
2.0ms
x
@0
(* (* 1/18 (/ (/ x y) z)) (sqrt t))
1.0ms
x
@0
(* 1/18 (/ (/ x y) z))
1.0ms
t
@0
(* (* 1/18 (/ (/ x y) z)) (sqrt t))

rewrite274.0ms (1.7%)

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)))))
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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))))))

simplify280.0ms (1.8%)

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)))))

eval30.0ms (0.2%)

Compiler

Compiled 4769 to 956 computations (80% saved)

prune34.0ms (0.2%)

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
98.1%
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
99.6%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 73 to 57 computations (21.9% saved)

localize291.0ms (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)))))))
accuracy94.4%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy91.8%
(/.f64 x (*.f64 y z))
accuracy98.5%
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
accuracy98.5%
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
accuracy94.4%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy91.8%
(/.f64 x (*.f64 y z))
accuracy99.4%
(*.f64 x #s(literal 1/18 binary64))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
accuracy94.3%
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))
accuracy91.7%
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
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
122.0ms256×0valid
Compiler

Compiled 226 to 25 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-acos: 31.0ms (41.1% of total)
ival-mult: 14.0ms (18.6% of total)
ival-pow: 9.0ms (11.9% of total)
...c/correct-round.rkt:125:19: 7.0ms (9.3% of total)
ival-div: 4.0ms (5.3% of total)
ival-log1p: 4.0ms (5.3% of total)
ival-expm1: 3.0ms (4% of total)
ival-cbrt: 2.0ms (2.7% of total)
ival-sqrt: 2.0ms (2.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series673.0ms (4.3%)

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
204.0ms
t
@-inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
128.0ms
y
@0
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
96.0ms
y
@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))))))
24.0ms
x
@-inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))

rewrite400.0ms (2.5%)

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))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))
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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)))

simplify741.0ms (4.7%)

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)))
(*.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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(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
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(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
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(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)))))

eval113.0ms (0.7%)

Compiler

Compiled 9045 to 1814 computations (79.9% saved)

prune65.0ms (0.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New4172419
Fresh000
Picked033
Done011
Total4176423
Accuracy
100.0%
Counts
423 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))
98.5%
(*.f64 #s(literal 1/3 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)))
98.1%
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
99.6%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 114 to 89 computations (21.9% saved)

localize562.0ms (3.6%)

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
(acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))
cost-diff0
(+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))) #s(literal 1 binary64))
cost-diff256
(-.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))
cost-diff256
(*.f64 #s(literal 1/3 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)))
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)))
accuracy99.4%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy95.1%
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy92.6%
(/.f64 (/.f64 x y) z)
accuracy99.5%
(/.f64 y #s(literal 1/18 binary64))
accuracy98.7%
(*.f64 #s(literal 1/3 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)))
accuracy96.8%
(*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))
accuracy94.8%
(/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))
Rules
3842×associate-+r-
1167×fma-define
879×distribute-lft-in
805×+-commutative
551×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033608
162578
2131578
3284578
4563578
51008578
61548578
71908578
82209578
92480578
102514578
112514578
123324578
133587578
143963578
154412578
164444578
174444578
184444578
194992578
205250578
215759578
226000578
236000578
246482578
256482578
266482578
276482578
286482578
296482578
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 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)))
#s(literal 1/3 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 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))) #s(literal 1 binary64))
(acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))
(/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))
(sqrt.f64 t)
t
(*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))
(/.f64 z x)
z
x
(/.f64 y #s(literal 1/18 binary64))
y
#s(literal 1/18 binary64)
#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) (-.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 #s(literal 1/3 binary64) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) y)) #s(literal 1/18 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 y #s(literal 1/18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z))))
#s(literal 1/3 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 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 0 binary64))
(acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) y)) #s(literal 1/18 binary64)))
(acos.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 y #s(literal 1/18 binary64))) z)))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z)))
(+.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 (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) y)) #s(literal 1/18 binary64))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 y #s(literal 1/18 binary64))) z))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z))) #s(literal 1 binary64))
(acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))
(+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 0 binary64))
(acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) y)) #s(literal 1/18 binary64)))
(acos.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 y #s(literal 1/18 binary64))) z)))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z)))
(/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) y)) #s(literal 1/18 binary64))
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 y #s(literal 1/18 binary64))) z))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z))
(sqrt.f64 t)
t
(*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))
(/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x)
(*.f64 z (/.f64 (/.f64 y #s(literal 1/18 binary64)) x))
(*.f64 z (/.f64 y (*.f64 x #s(literal 1/18 binary64))))
(/.f64 (/.f64 (*.f64 z y) x) #s(literal 1/18 binary64))
(/.f64 z x)
z
x
(/.f64 y #s(literal 1/18 binary64))
y
#s(literal 1/18 binary64)
#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) (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) y)) #s(literal 1/18 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 y #s(literal 1/18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z))))
#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 (sqrt.f64 t) #s(literal 1/18 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) z) y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z))) #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 (acos.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))) #s(literal 0 binary64))
(acos.f64 (*.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) y)) #s(literal 1/18 binary64)))
(acos.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 y #s(literal 1/18 binary64))) z)))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z)))
(*.f64 (/.f64 (/.f64 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y #s(literal 1/18 binary64))) x))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) y)) #s(literal 1/18 binary64))
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 y #s(literal 1/18 binary64))) z))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) y) z))
(/.f64 (/.f64 x y) z)
(/.f64 x (*.f64 z y))
(/.f64 x y)
x
y
z
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 1 binary64)
Results
126.0ms220×0valid
68.0ms36×5exit
Compiler

Compiled 166 to 25 computations (84.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 136.0ms
ival-acos: 69.0ms (50.9% of total)
...c/correct-round.rkt:125:19: 15.0ms (11.1% of total)
ival-div: 15.0ms (11.1% of total)
backward-pass: 11.0ms (8.1% of total)
ival-mult: 11.0ms (8.1% of total)
ival-fma: 5.0ms (3.7% of total)
ival-add: 4.0ms (2.9% of total)
ival-sqrt: 3.0ms (2.2% of total)
ival-sub: 2.0ms (1.5% of total)
const: 1.0ms (0.7% of total)

series115.0ms (0.7%)

Counts
11 → 480
Calls
Call 1
Inputs
#<alt (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))>
#<alt (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))>
#<alt (*.f64 #s(literal 1/3 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)))>
#<alt (/.f64 y #s(literal 1/18 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 (-.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))>
#<alt (+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))) #s(literal 1 binary64))>
#<alt (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 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 (*.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 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
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Calls

120 calls:

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

rewrite382.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
384×prod-diff
226×log1p-expm1-u
226×expm1-log1p-u
222×add-exp-log
222×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033491
1498461
27474461
Stop Event
node limit
Counts
11 → 517
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))
(*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/3 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 y #s(literal 1/18 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)))
(-.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 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64))))) #s(literal 1 binary64))
(acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 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 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z))
(*.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(*.f64 (/.f64 x (*.f64 z y)) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (/.f64 x (*.f64 z y)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x (*.f64 z y))) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) (cbrt.f64 (/.f64 t (pow.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 t (pow.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))
(*.f64 (cbrt.f64 (*.f64 t #s(literal 1/324 binary64))) (*.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (/.f64 x (*.f64 z y))))
(*.f64 (cbrt.f64 t) (/.f64 (cbrt.f64 (sqrt.f64 t)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(*.f64 (cbrt.f64 t) (*.f64 (cbrt.f64 (sqrt.f64 t)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 z y))) (*.f64 (sqrt.f64 (/.f64 x (*.f64 z y))) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) (sqrt.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (*.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (/.f64 x (*.f64 z y))))
(*.f64 (neg.f64 (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (/.f64 y x)) #s(literal -1/18 binary64))))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (sqrt.f64 t) (/.f64 x z)))
(*.f64 (/.f64 x z) (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (sqrt.f64 t))
(*.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 t) (cbrt.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))) (/.f64 (sqrt.f64 t) (sqrt.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))))
(*.f64 (/.f64 (cbrt.f64 t) (/.f64 z x)) (/.f64 (cbrt.f64 (sqrt.f64 t)) (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 (cbrt.f64 t) (*.f64 y #s(literal 18 binary64))) (/.f64 (cbrt.f64 (sqrt.f64 t)) (/.f64 z x)))
(*.f64 (/.f64 (cbrt.f64 t) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (sqrt.f64 t)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(*.f64 (/.f64 (cbrt.f64 t) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))
(*.f64 (/.f64 (cbrt.f64 t) (sqrt.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))) (/.f64 (cbrt.f64 (sqrt.f64 t)) (sqrt.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z x)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 y #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 z x)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))) #s(literal 2 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))))
(*.f64 (/.f64 (/.f64 x y) (sqrt.f64 z)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (sqrt.f64 z)))
(*.f64 (/.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) z))
(*.f64 (/.f64 (/.f64 x y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (cbrt.f64 z)))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 t)) #s(literal 1/18 binary64))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (cbrt.f64 (*.f64 t #s(literal 1/324 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(*.f64 (*.f64 (/.f64 x (*.f64 z y)) (sqrt.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)))) (sqrt.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 z y))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) (sqrt.f64 (/.f64 x (*.f64 z y)))) (sqrt.f64 (/.f64 x (*.f64 z y))))
(*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) #s(literal 1 binary64)) (sqrt.f64 t))
(*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (cbrt.f64 t)) (cbrt.f64 (sqrt.f64 t)))
(*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)) (pow.f64 t #s(literal 1/4 binary64))) (pow.f64 t #s(literal 1/4 binary64)))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) y) #s(literal 1/18 binary64))
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) #s(literal 1 binary64)) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z y)) (*.f64 x #s(literal 1/18 binary64)))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 y x))) #s(literal 1/18 binary64))
(*.f64 (/.f64 (sqrt.f64 t) (*.f64 z (*.f64 y #s(literal 18 binary64)))) x)
(*.f64 (/.f64 (*.f64 (sqrt.f64 t) (/.f64 x z)) (neg.f64 y)) #s(literal -1/18 binary64))
(pow.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 z x) (/.f64 (*.f64 y #s(literal 18 binary64)) (sqrt.f64 t))) #s(literal -1 binary64))
(neg.f64 (/.f64 (sqrt.f64 t) (/.f64 (*.f64 z (/.f64 y x)) #s(literal -1/18 binary64))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 t)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(sqrt.f64 (/.f64 t (pow.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 z y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 t) #s(literal 1/18 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (*.f64 z y)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))) #s(literal 1 binary64))
(/.f64 z (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 z (*.f64 (/.f64 #s(literal 1/18 binary64) y) x))
(/.f64 (/.f64 z x) (/.f64 #s(literal 1/18 binary64) y))
(/.f64 y (*.f64 (/.f64 x z) #s(literal 1/18 binary64)))
(/.f64 y (*.f64 #s(literal 1/18 binary64) (/.f64 x z)))
(/.f64 (*.f64 y #s(literal 18 binary64)) (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (*.f64 y #s(literal 18 binary64)))))
(/.f64 (*.f64 z y) (*.f64 x #s(literal 1/18 binary64)))
(/.f64 (neg.f64 y) (*.f64 (/.f64 x z) #s(literal -1/18 binary64)))
(/.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal 1/18 binary64) y) (neg.f64 x)))
(/.f64 (*.f64 z (/.f64 y x)) #s(literal 1/18 binary64))
(/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x)
(/.f64 (*.f64 (neg.f64 y) z) (*.f64 #s(literal -1/18 binary64) x))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 (*.f64 z (neg.f64 y)) (*.f64 x #s(literal -1/18 binary64)))
(/.f64 (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 x) #s(literal 1/18 binary64)))
(/.f64 (*.f64 (neg.f64 z) (neg.f64 y)) (*.f64 (neg.f64 x) #s(literal -1/18 binary64)))
(/.f64 (*.f64 y (neg.f64 z)) (*.f64 #s(literal 1/18 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (*.f64 #s(literal -1/18 binary64) (/.f64 x z)))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 z)) (*.f64 #s(literal -1/18 binary64) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 z y)) (neg.f64 (*.f64 x #s(literal 1/18 binary64))))
(/.f64 (neg.f64 (*.f64 z (/.f64 y x))) #s(literal -1/18 binary64))
(/.f64 (neg.f64 (*.f64 z (*.f64 y #s(literal 18 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 z x) (neg.f64 y)) #s(literal -1/18 binary64))
(/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) (neg.f64 z)) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 z) (*.f64 y #s(literal 18 binary64))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 y) (/.f64 z x)) #s(literal -1/18 binary64))
(/.f64 (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 y) #s(literal 18 binary64)) (/.f64 z x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 18 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 y #s(literal 18 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 z x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(exp.f64 (log.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))) #s(literal -1/3 binary64))
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))) #s(literal 1 binary64))
(-.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 3 binary64)))))
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(*.f64 (+.f64 (sqrt.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #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 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))))))
(/.f64 (-.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 0 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 x #s(literal 1/18 binary64)) (*.f64 z y)))) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))))
(pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))))
(exp.f64 (log.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))) (sqrt.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))) #s(literal -1 binary64))

simplify1.2s (7.5%)

Algorithm
egg-herbie
Rules
622×fma-neg
517×times-frac
402×associate-*r*
377×associate-*l*
340×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
077959577
1186057094
2767857066
Stop Event
node limit
Counts
997 → 465
Calls
Call 1
Inputs
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.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 (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 (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 (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 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.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 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))) #s(literal -1 binary64))
Outputs
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x y))))
(*.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 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x y))))
(*.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 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x y))))
(*.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 (/.f64 x y) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x y))))
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(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x y))))
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(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (/.f64 z (/.f64 x y))))
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eval154.0ms (1%)

Compiler

Compiled 13789 to 2625 computations (81% saved)

prune86.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New5302532
Fresh000
Picked022
Done224
Total5326538
Accuracy
100.0%
Counts
538 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
99.6%
(+.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)))
98.5%
(*.f64 #s(literal 1/3 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)))
98.1%
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 122 to 93 computations (23.8% saved)

localize582.0ms (3.7%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
cost-diff0
(+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))
cost-diff256
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
cost-diff6656
(acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))))
cost-diff6656
(+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64))
cost-diff6912
(-.f64 (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff6912
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy100.0%
(*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
accuracy99.4%
(*.f64 x #s(literal 1/18 binary64))
accuracy94.3%
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
accuracy91.7%
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy98.4%
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
accuracy95.3%
(/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))
accuracy91.1%
(*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))
Rules
3712×associate-+r-
1176×fma-define
928×distribute-lft-in
790×+-commutative
551×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037798
177705
2183689
3449683
4938683
51672683
62312683
72700683
83039683
93304683
103332683
113332683
124129683
134392683
144779683
155251683
165285683
175285683
185285683
195832683
206090683
216602683
226846683
236846683
247334683
257334683
267334683
277334683
287334683
297334683
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1/3 binary64)
(-.f64 (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64))
(acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(pow.f64 t #s(literal 1/4 binary64))
t
#s(literal 1/4 binary64)
(/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))
(*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))
z
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(*.f64 y #s(literal 18 binary64))
y
#s(literal 18 binary64)
x
#s(literal 1 binary64)
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
(sqrt.f64 t)
t
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
#s(literal 1 binary64)
#s(literal 1/3 binary64)
#s(literal -1/3 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (*.f64 y (/.f64 #s(literal 18 binary64) x)))))) #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (pow.f64 t #s(literal 1/2 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x (*.f64 z #s(literal 18 binary64))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 z (*.f64 y #s(literal 18 binary64)))))))
#s(literal 1/3 binary64)
(-.f64 (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (*.f64 y (/.f64 #s(literal 18 binary64) x)))))) #s(literal 0 binary64))
(acos.f64 (/.f64 (pow.f64 t #s(literal 1/2 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x (*.f64 z #s(literal 18 binary64)))))
(acos.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 z (*.f64 y #s(literal 18 binary64))))))
(+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (*.f64 y (/.f64 #s(literal 18 binary64) x)))))) #s(literal 1 binary64))
(+.f64 (acos.f64 (/.f64 (pow.f64 t #s(literal 1/2 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x (*.f64 z #s(literal 18 binary64))))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 z (*.f64 y #s(literal 18 binary64)))))) #s(literal 1 binary64))
(acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))))
(+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (*.f64 y (/.f64 #s(literal 18 binary64) x)))))) #s(literal 0 binary64))
(acos.f64 (/.f64 (pow.f64 t #s(literal 1/2 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(acos.f64 (/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(acos.f64 (*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x (*.f64 z #s(literal 18 binary64)))))
(acos.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 z (*.f64 y #s(literal 18 binary64))))))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (*.f64 y (/.f64 #s(literal 18 binary64) x)))))
(/.f64 (pow.f64 t #s(literal 1/2 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))
(*.f64 (/.f64 (sqrt.f64 t) y) (/.f64 x (*.f64 z #s(literal 18 binary64))))
(*.f64 x (/.f64 (sqrt.f64 t) (*.f64 z (*.f64 y #s(literal 18 binary64)))))
(pow.f64 t #s(literal 1/4 binary64))
t
#s(literal 1/4 binary64)
(/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))
(/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (*.f64 y (/.f64 #s(literal 18 binary64) x))))
(/.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z) (/.f64 (*.f64 y #s(literal 18 binary64)) x))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z) (/.f64 x (*.f64 y #s(literal 18 binary64))))
(*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))
(*.f64 z (*.f64 y (/.f64 #s(literal 18 binary64) x)))
(*.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 y x))
(*.f64 z (*.f64 #s(literal 18 binary64) (/.f64 y x)))
z
(/.f64 (*.f64 y #s(literal 18 binary64)) x)
(*.f64 y (/.f64 #s(literal 18 binary64) x))
(*.f64 #s(literal 18 binary64) (/.f64 y x))
(*.f64 y #s(literal 18 binary64))
y
#s(literal 18 binary64)
x
#s(literal 1 binary64)
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1/3 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))) #s(literal -1/3 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (sqrt.f64 t) (/.f64 x z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (sqrt.f64 t) (/.f64 x z)))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))) #s(literal 1/3 binary64))
(+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (sqrt.f64 t) (/.f64 x z)))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(acos.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (sqrt.f64 t) (/.f64 x z))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y))))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) (*.f64 (sqrt.f64 t) (/.f64 x z)))
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 z y))))
(sqrt.f64 t)
t
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 z y)))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 z y)))
(*.f64 x #s(literal 1/18 binary64))
x
#s(literal 1/18 binary64)
(*.f64 z y)
z
y
#s(literal 1 binary64)
#s(literal 1/3 binary64)
#s(literal -1/3 binary64)
Results
92.0ms256×0valid
Compiler

Compiled 222 to 30 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 14.0ms (25.5% of total)
...c/correct-round.rkt:125:19: 12.0ms (21.8% of total)
ival-pow: 9.0ms (16.4% of total)
ival-div: 6.0ms (10.9% of total)
ival-add: 5.0ms (9.1% of total)
ival-acos: 5.0ms (9.1% of total)
ival-sqrt: 2.0ms (3.6% of total)
ival-sub: 1.0ms (1.8% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series139.0ms (0.9%)

Counts
13 → 600
Calls
Call 1
Inputs
#<alt (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))>
#<alt (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))>
#<alt (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))>
#<alt (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))>
#<alt (*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64))>
#<alt (-.f64 (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64))>
#<alt (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))))>
#<alt (+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))>
#<alt (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))>
#<alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))>
Outputs
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) t))))))) (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) t))))))) (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) t))))))) (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) t))))))) (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 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 (*.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 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
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#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<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 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
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#<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 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
Calls

150 calls:

TimeVariablePointExpression
19.0ms
t
@0
(/ (pow t 1/4) (* z (/ (* y 18) x)))
17.0ms
t
@-inf
(/ (pow t 1/4) (* z (/ (* y 18) x)))
15.0ms
z
@0
(/ (pow t 1/4) (* z (/ (* y 18) x)))
11.0ms
y
@0
(/ (pow t 1/4) (* z (/ (* y 18) x)))
7.0ms
x
@0
(/ (pow t 1/4) (* z (/ (* y 18) x)))

rewrite188.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
259×log1p-expm1-u
259×expm1-log1p-u
254×add-exp-log
253×add-log-exp
253×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037688
1568585
Stop Event
node limit
Counts
13 → 440
Calls
Call 1
Inputs
(*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))
(/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))
(*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(-.f64 (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64))
(acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))))
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x))) #s(literal 1 binary64))
(/.f64 z (/.f64 x (*.f64 y #s(literal 18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 z (*.f64 y #s(literal 18 binary64)))))
(/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) x)
(/.f64 (neg.f64 (*.f64 z (*.f64 y #s(literal 18 binary64)))) (neg.f64 x))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 x (*.f64 y #s(literal 18 binary64))))
(/.f64 (*.f64 z (*.f64 y #s(literal -18 binary64))) (neg.f64 x))
(/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x)
(/.f64 (*.f64 (*.f64 y #s(literal -18 binary64)) z) (neg.f64 x))
(/.f64 (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 z (*.f64 y #s(literal 18 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) (*.f64 #s(literal 18 binary64) (/.f64 y x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 18 binary64) (/.f64 y x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 18 binary64) (/.f64 y x)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x)))
(exp.f64 (log.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z)))) #s(literal 1 binary64))
(*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z)))
(*.f64 (cbrt.f64 (sqrt.f64 t)) (*.f64 (cbrt.f64 (pow.f64 t #s(literal 1/4 binary64))) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))
(*.f64 (cbrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z))) (cbrt.f64 (/.f64 (sqrt.f64 t) (pow.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 t) (pow.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z))))
(*.f64 (*.f64 (pow.f64 t #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))) (*.f64 (pow.f64 t #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 (neg.f64 (pow.f64 t #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 18 binary64) (/.f64 y x)) (neg.f64 z))))
(*.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z))
(*.f64 (pow.f64 t #s(literal 1/8 binary64)) (*.f64 (pow.f64 t #s(literal 1/8 binary64)) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z) (/.f64 x (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 #s(literal 18 binary64) (/.f64 y x))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x)) #s(literal 2 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (cbrt.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x))) (sqrt.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 t)) z) (/.f64 (cbrt.f64 (pow.f64 t #s(literal 1/4 binary64))) (*.f64 #s(literal 18 binary64) (/.f64 y x))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 t)) (*.f64 #s(literal 18 binary64) (/.f64 y x))) (/.f64 (cbrt.f64 (pow.f64 t #s(literal 1/4 binary64))) z))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 t)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (pow.f64 t #s(literal 1/4 binary64))) (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x)))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 t)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 t)) (sqrt.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x))) (/.f64 (cbrt.f64 (pow.f64 t #s(literal 1/4 binary64))) (sqrt.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/8 binary64)) z) (/.f64 (pow.f64 t #s(literal 1/8 binary64)) (*.f64 #s(literal 18 binary64) (/.f64 y x))))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/8 binary64)) (*.f64 #s(literal 18 binary64) (/.f64 y x))) (/.f64 (pow.f64 t #s(literal 1/8 binary64)) z))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 t #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x)))
(*.f64 (/.f64 (pow.f64 t #s(literal 1/8 binary64)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x)) #s(literal 2 binary64))) (/.f64 (pow.f64 t #s(literal 1/8 binary64)) (cbrt.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x))))
(pow.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 t #s(literal 1/8 binary64)) (sqrt.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 18 binary64)) z) x) (pow.f64 t #s(literal 1/4 binary64))) #s(literal -1 binary64))
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(fma.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))) (sqrt.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))) #s(literal -1/3 binary64))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal -1 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))) (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))))
(*.f64 (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))))
(*.f64 (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))) (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal -1 binary64)) (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))))
(/.f64 (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (sqrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))))
(cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))))
(exp.f64 (log1p.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(exp.f64 (*.f64 (log1p.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) (sqrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 1 binary64))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 1 binary64))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))
(*.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))
(*.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) (pow.f64 (cbrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 2 binary64)) (cbrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(*.f64 (pow.f64 (cbrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) (sqrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(*.f64 (sqrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) (*.f64 (sqrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (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 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (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 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(exp.f64 (log.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 1 binary64)))

simplify745.0ms (4.7%)

Algorithm
egg-herbie
Rules
473×fma-neg
418×times-frac
342×associate-*r*
327×associate-*l*
301×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
090456878
1211555604
2776455550
Stop Event
node limit
Counts
1040 → 564
Calls
Call 1
Inputs
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (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 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (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 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))) (+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(exp.f64 (log.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 18 binary64) (/.f64 (*.f64 y z) x))
(*.f64 #s(literal 18 binary64) (*.f64 y (/.f64 z x)))
(*.f64 #s(literal 18 binary64) (*.f64 z (/.f64 y x)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) t))))))) (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) t)))))) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) (*.f64 y z)) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) t))))))) (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) t)))))) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) (*.f64 y z)) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) t))))))) (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) t)))))) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) (*.f64 y z)) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) t))))))) (*.f64 y z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (*.f64 x (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) t)))))) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) t)))) (*.f64 y z)) #s(literal 1/18 binary64)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) t) #s(literal 1/4 binary64)) (/.f64 x (*.f64 y z))))
(*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (pow.f64 t #s(literal 1/4 binary64))))
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(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y (*.f64 #s(literal 18 binary64) z))))) #s(literal 2 binary64)))
(fabs.f64 (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(log.f64 (exp.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t)))) #s(literal 3 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(exp.f64 (log.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (/.f64 #s(literal 1/18 binary64) y) z) (sqrt.f64 t))))) #s(literal 1 binary64)))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))))

eval126.0ms (0.8%)

Compiler

Compiled 15281 to 2971 computations (80.6% saved)

prune145.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New5792581
Fresh000
Picked202
Done134
Total5825587
Accuracy
100.0%
Counts
587 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
98.1%
(*.f64 #s(literal 1/3 binary64) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))) #s(literal 1 binary64)))
98.5%
(*.f64 #s(literal 1/3 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)))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
98.1%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 291 to 172 computations (40.9% saved)

regimes275.0ms (1.7%)

Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (/.f64 (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 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))) #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) (-.f64 (+.f64 (acos.f64 (*.f64 (pow.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 t #s(literal 1/4 binary64)) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x))))) #s(literal 1 binary64)) #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 (*.f64 (+.f64 (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
Calls

13 calls:

174.0ms
(*.f64 z #s(literal 2 binary64))
57.0ms
y
5.0ms
(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
4.0ms
(sqrt.f64 t)
4.0ms
(*.f64 y #s(literal 27 binary64))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1t
100.0%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
100.0%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
100.0%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
100.0%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
100.0%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
100.0%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
100.0%1(*.f64 y #s(literal 27 binary64))
100.0%1(*.f64 z #s(literal 2 binary64))
100.0%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes11.0ms (0.1%)

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

5 calls:

2.0ms
(sqrt.f64 t)
2.0ms
z
2.0ms
y
2.0ms
t
2.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1z
99.6%1t
99.6%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes67.0ms (0.4%)

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

5 calls:

59.0ms
t
2.0ms
(sqrt.f64 t)
2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

regimes9.0ms (0.1%)

Accuracy

Total -0.3b remaining (-21.1%)

Threshold costs -0.3b (-21.1%)

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

5 calls:

2.0ms
y
2.0ms
(sqrt.f64 t)
2.0ms
x
1.0ms
z
1.0ms
t
Results
AccuracySegmentsBranch
98.1%1x
98.1%1y
98.1%1z
98.1%1t
98.1%1(sqrt.f64 t)
Compiler

Compiled 26 to 21 computations (19.2% saved)

simplify6.0ms (0%)

Algorithm
egg-herbie
Rules
12×*-commutative
+-commutative
1-exp
unsub-neg
sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046240
169240
273240
376240
479240
582240
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 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 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Outputs
(+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 t)) y)) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 z y)))))))
(*.f64 #s(literal 1/3 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 #s(literal 1/3 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (/.f64 (sqrt.f64 t) (*.f64 (/.f64 z x) (/.f64 y #s(literal 1/18 binary64)))))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))

soundness831.0ms (5.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01001040
1292920
2999824
33700824
44379824
55515824
67072824
033491
1498461
27474461
032589
1436589
25446589
021187
1249187
23308187
037688
1568585
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 749 to 280 computations (62.6% saved)

preprocess83.0ms (0.5%)

Compiler

Compiled 392 to 282 computations (28.1% saved)

end0.0ms (0%)

Profiling

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