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

Time bar (total: 15.2s)

analyze446.0ms (2.9%)

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: 216.0ms
ival-mult: 96.0ms (44.5% of total)
ival-div: 69.0ms (32% of total)
ival-sqrt: 21.0ms (9.7% of total)
ival-acos: 21.0ms (9.7% of total)
const: 7.0ms (3.2% of total)
backward-pass: 1.0ms (0.5% of total)

sample6.6s (43.4%)

Results
2.7s15619×0invalid
2.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.8s
ival-div: 1.5s (39.6% of total)
ival-mult: 1.4s (37.9% of total)
ival-sqrt: 584.0ms (15.4% of total)
ival-acos: 195.0ms (5.1% of total)
const: 67.0ms (1.8% of total)
backward-pass: 7.0ms (0.2% of total)
Bogosity

preprocess152.0ms (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)

explain191.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
171(-6.914187987630126e-193 -2.9482242165067187e-13 8.200920463104011e+189 1.485608266849155e+95)6(-0.00017774883002479562 -8.617915285885161e+217 1.2793511489781472e+96 1.5711525239579544e+275)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
110-3(-1.7839705355721348e-8 -3.1457531508520203e+304 -9.316652984224607e-300 1.958089671591328e-258)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
00-0-x
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-(sqrt.f64 t)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-#s(literal 27 binary64)
00-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-y
00-0-(*.f64 y #s(literal 27 binary64))
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
94.0ms512×0valid
Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 18.0ms (44.8% of total)
ival-div: 12.0ms (29.9% of total)
ival-acos: 5.0ms (12.4% of total)
ival-sqrt: 4.0ms (10% of total)
const: 2.0ms (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
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify16.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize83.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
accuracy96.5%
(/.f64 (/.f64 x y) z)
accuracy94.7%
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
Results
70.0ms256×0valid
Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
...c/correct-round.rkt:121:19: 7.0ms (30.5% of total)
ival-div: 6.0ms (26.1% of total)
ival-mult: 5.0ms (21.8% 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)

series36.0ms (0.2%)

Counts
5 → 216
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))>
#<alt (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))>
#<alt (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))>
#<alt (/.f64 (/.f64 x y) z)>
Outputs
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
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#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
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#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (/.f64 x (*.f64 y z))>
Calls

54 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(* (* 1/18 (/ (/ x y) z)) (sqrt t))
3.0ms
z
@0
(* (* 1/18 (/ (/ x y) z)) (sqrt t))
2.0ms
x
@0
(* (* 1/18 (/ (/ x y) z)) (sqrt t))
2.0ms
t
@-inf
(* (* 1/18 (/ (/ x y) z)) (sqrt t))
1.0ms
y
@0
(* (* 1/18 (/ (/ x y) z)) (sqrt t))

rewrite267.0ms (1.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
021187
1249187
23308187
Stop Event
node limit
Counts
5 → 150
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
(/.f64 (/.f64 x y) z)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) #s(literal 1 binary64)))
(+.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (fma.f64 (neg.f64 (sqrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (sqrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(+.f64 #s(literal 0 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))) (fma.f64 (neg.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (*.f64 (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) (cbrt.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))))
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(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y z)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 z)))
(pow.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (*.f64 z (/.f64 y x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))

simplify268.0ms (1.8%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
038814975
180714753
2251914739
3694614687
Stop Event
node limit
Counts
366 → 198
Calls
Call 1
Inputs
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (fma.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (*.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log1p.f64 (expm1.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(exp.f64 (*.f64 (log.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64))) (neg.f64 (asin.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(+.f64 #s(literal 0 binary64) (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) z)
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (sqrt.f64 t)) z)
(pow.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(exp.f64 (log.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/18 binary64) (*.f64 z (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1/18 binary64) x) (*.f64 y z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (neg.f64 y))) (neg.f64 z))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(/.f64 (*.f64 (/.f64 x (neg.f64 y)) #s(literal 1/18 binary64)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 y z)))) (cbrt.f64 (exp.f64 (/.f64 x (*.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 y z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z)))
(*.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) z))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y z)))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) (sqrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 (sqrt.f64 (/.f64 x y)) z))
(*.f64 (sqrt.f64 (/.f64 x y)) (*.f64 (sqrt.f64 (/.f64 x y)) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y z)))
(*.f64 (/.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 x y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (/.f64 x y) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (/.f64 x y)) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 z)))
(pow.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64))
(pow.f64 (*.f64 z (/.f64 y x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) z))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (*.f64 y z)))))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y z))))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (log.f64 (/.f64 x (*.f64 y z))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (/.f64 x y)) (sqrt.f64 z)))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 x y)) z))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 (sqrt.f64 (/.f64 x y)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 x y)) (cbrt.f64 z)))
(/.f64 x (*.f64 y z))
(pow.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))
(/.f64 x (*.f64 y z))
(pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 3 binary64))
(/.f64 x (*.f64 y z))
(pow.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 x (*.f64 y z))
(pow.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64))
(/.f64 x (*.f64 y z))
(pow.f64 (*.f64 z (/.f64 y x)) #s(literal -1 binary64))
(/.f64 x (*.f64 y z))
(neg.f64 (/.f64 (/.f64 x y) (neg.f64 z)))
(/.f64 x (*.f64 y z))
(neg.f64 (/.f64 (/.f64 x (neg.f64 y)) z))
(/.f64 x (*.f64 y z))
(sqrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64)))
(/.f64 x (*.f64 y z))
(log.f64 (exp.f64 (/.f64 x (*.f64 y z))))
(/.f64 x (*.f64 y z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (*.f64 y z)))))
(/.f64 x (*.f64 y z))
(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)))
(/.f64 x (*.f64 y z))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 x (*.f64 y z))
(expm1.f64 (log1p.f64 (/.f64 x (*.f64 y z))))
(/.f64 x (*.f64 y z))
(log1p.f64 (expm1.f64 (/.f64 x (*.f64 y z))))
(/.f64 x (*.f64 y z))
(exp.f64 (log.f64 (/.f64 x (*.f64 y z))))
(/.f64 x (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (/.f64 x (*.f64 y z))) #s(literal 1 binary64)))
(/.f64 x (*.f64 y z))

eval28.0ms (0.2%)

Compiler

Compiled 4582 to 926 computations (79.8% saved)

prune30.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1962198
Fresh000
Picked011
Done000
Total1963199
Accuracy
100.0%
Counts
199 → 3
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))))
98.5%
(*.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 56 to 44 computations (21.4% saved)

simplify92.0ms (0.6%)

Algorithm
egg-herbie
Localize:

Found 8 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))))
Rules
865×sub-neg
397×fma-define
379×distribute-neg-in
372×+-commutative
338×associate-+r-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027615
147615
289615
3184615
4293615
5416615
61055615
71622615
83846615
96640615
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
#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) (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 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) 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 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 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))))
(acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)))
(acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) 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) (sqrt.f64 t)) (*.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) 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 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z))))
(acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))))
(acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)))
(acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y))))
(*.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 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z))
(*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 x (*.f64 y z))
(/.f64 (/.f64 x 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)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) 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 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 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))))
(acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)))
(acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) 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) (sqrt.f64 t)) (*.f64 y z)))))
(log1p.f64 (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))))
(log1p.f64 (acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))))
(log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(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 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z))))
(acos.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)))
(acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y))))
(*.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 #s(literal 1/18 binary64) (/.f64 (/.f64 (sqrt.f64 t) y) z)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) (*.f64 y z))))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z))
(*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 x (*.f64 y z))
(/.f64 (/.f64 x 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

localize119.0ms (0.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.4%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
accuracy94.9%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy92.3%
(/.f64 x (*.f64 y z))
accuracy98.5%
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
accuracy98.4%
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
accuracy94.9%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy92.3%
(/.f64 x (*.f64 y z))
Results
86.0ms256×0valid
Compiler

Compiled 171 to 20 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 19.0ms (38.4% of total)
...c/correct-round.rkt:121:19: 7.0ms (14.1% of total)
ival-sqrt: 6.0ms (12.1% of total)
ival-pow: 4.0ms (8.1% of total)
ival-expm1: 3.0ms (6.1% of total)
ival-log1p: 3.0ms (6.1% of total)
ival-div: 2.0ms (4% of total)
ival-acos: 2.0ms (4% of total)
ival-cbrt: 2.0ms (4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series944.0ms (6.2%)

Counts
10 → 388
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))>
#<alt (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))>
#<alt (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))>
#<alt (*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))>
#<alt (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))>
#<alt (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))>
#<alt (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))>
Outputs
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
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#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))>
#<alt (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 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)))))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
Calls

108 calls:

TimeVariablePointExpression
552.0ms
t
@-inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
137.0ms
z
@-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))))))
41.0ms
y
@inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))
23.0ms
x
@-inf
(log (+ 1 (acos (* (/ x (* y z)) (* 1/18 (sqrt t))))))

rewrite496.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
833×log1p-expm1-u
832×expm1-log1p-u
782×log-prod
239×expm1-undefine
239×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027414
1323414
23614414
Stop Event
node limit
Counts
10 → 315
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))) (/.f64 x (sqrt.f64 (*.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y z))))
(pow.f64 (/.f64 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 (*.f64 y z) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (*.f64 y (neg.f64 z))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y z)))
(sqrt.f64 (pow.f64 (/.f64 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 x #s(literal 3 binary64)) (pow.f64 (*.f64 y 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 y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 x)) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) y) z)
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)) (*.f64 y z))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64)) (*.f64 t #s(literal 1/324 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)))

simplify459.0ms (3%)

Algorithm
egg-herbie
Rules
610×associate-/r*
325×cube-prod
273×exp-prod
232×swap-sqr
221×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048736054
199335028
2323534730
Stop Event
node limit
Counts
703 → 293
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
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(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
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(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))) #s(literal 2 binary64)) (cbrt.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))))
(*.f64 (sqrt.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))) (sqrt.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))))
(pow.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))) #s(literal 2 binary64)))
(log.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))))
(exp.f64 (log.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x (*.f64 y z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 y z)))) (cbrt.f64 (exp.f64 (/.f64 x (*.f64 y z)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 y z))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (*.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (*.f64 y z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) y) z))
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (*.f64 y z)))
(*.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 (sqrt.f64 (/.f64 x (*.f64 y z))) (sqrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y z)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) y) z)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) z) x)
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (*.f64 y z)))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) z))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (*.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y z))) (/.f64 x (sqrt.f64 (*.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (*.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y z))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y z))))
(pow.f64 (/.f64 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 (*.f64 y z) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (*.f64 y (neg.f64 z))))
(neg.f64 (/.f64 (neg.f64 x) (*.f64 y z)))
(sqrt.f64 (pow.f64 (/.f64 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 x #s(literal 3 binary64)) (pow.f64 (*.f64 y 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 y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z)))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 (*.f64 y z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y z))
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 x)) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x y)) z)
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) y) z)
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)) (*.f64 y z))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))
(pow.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64)) (*.f64 t #s(literal 1/324 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)) (/.f64 x (*.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (*.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(exp.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t #s(literal 1/324 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) #s(literal 1/18 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x z) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
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(*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))

eval59.0ms (0.4%)

Compiler

Compiled 9608 to 1738 computations (81.9% saved)

prune62.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3992401
Fresh000
Picked112
Done011
Total4004404
Accuracy
100.0%
Counts
404 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #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)))))))
100.0%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 77 to 60 computations (22.1% saved)

simplify74.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))
cost-diff0
(+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64))
cost-diff256
(-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff256
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y))
cost-diff0
(pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))
cost-diff12864
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64)))
cost-diff12864
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))))
Rules
640×distribute-lft-in
593×associate-+r-
580×unsub-neg
542×distribute-rgt-in
533×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032639
165639
2120639
3306639
4949639
53195639
67066639
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))
(acos.f64 (/.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))) z) y)
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
y
#s(literal 3 binary64)
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 1 binary64)))
#s(literal 1/3 binary64)
(-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64))
(acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(/.f64 x y)
x
y
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) 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 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
#s(literal 1/3 binary64)
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64)))
(acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3 binary64))
(acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y))
(acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(*.f64 x (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(*.f64 (sqrt.f64 t) (/.f64 (*.f64 x #s(literal 1/18 binary64)) z))
(*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))
x
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
y
#s(literal 3 binary64)
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) 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 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
#s(literal 1/3 binary64)
(-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 1 binary64))
(acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
(acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))
(acos.f64 (*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y))))
(acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))))
(acos.f64 (*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(*.f64 (/.f64 x y) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 z y)))
(*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))
(*.f64 x (*.f64 (sqrt.f64 t) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(/.f64 x y)
x
y
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
z
#s(literal 1 binary64)

localize155.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
accuracy99.4%
(*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy92.5%
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
accuracy98.5%
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64)))
accuracy98.4%
(pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))
accuracy97.2%
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
accuracy92.0%
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)
Results
121.0ms256×0valid
Compiler

Compiled 184 to 25 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-div: 55.0ms (63.3% of total)
ival-mult: 9.0ms (10.4% of total)
...c/correct-round.rkt:121:19: 7.0ms (8.1% of total)
ival-acos: 5.0ms (5.8% of total)
ival-pow: 4.0ms (4.6% of total)
ival-cbrt: 2.0ms (2.3% of total)
ival-sqrt: 2.0ms (2.3% of total)
ival-add: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series49.0ms (0.3%)

Counts
12 → 540
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))))>
#<alt (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64)))>
#<alt (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))>
#<alt (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y))>
#<alt (*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64))>
#<alt (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))>
#<alt (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)>
#<alt (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)>
#<alt (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))>
#<alt (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)>
Outputs
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
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#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
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#<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))) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 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 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1 binary64) z)))>
Calls

135 calls:

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

rewrite331.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
825×log1p-expm1-u
367×prod-diff
185×expm1-log1p-u
182×add-exp-log
182×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032521
1488521
26095521
Stop Event
node limit
Counts
12 → 611
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))))
(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64)))
(pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))
(acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64))
(acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)))
(/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)
(/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z)
(*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z)
Outputs
(+.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64))) #s(literal -1/3 binary64))
(+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))))))
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(pow.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))
(pow.f64 (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) z))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(exp.f64 (log.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64))
(/.f64 x (*.f64 y (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))
(/.f64 x (*.f64 (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)) y))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 (/.f64 y x) z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (*.f64 z (/.f64 y x)))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (*.f64 z y))
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) y)
(/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))) y))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z y) (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) y)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)) (neg.f64 y)))
(/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) z) (neg.f64 y))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) z))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 z (neg.f64 y)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (neg.f64 (*.f64 z y)))
(/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (*.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) y) z)
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 z) y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 z) (/.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (neg.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) y)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (neg.f64 z))
(/.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) (/.f64 #s(literal 1 binary64) y)) z)
(/.f64 (*.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) (/.f64 #s(literal 1 binary64) y)) (neg.f64 z))
(/.f64 (*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) y) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x #s(literal 1/18 binary64))) y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 2 binary64))
(pow.f64 (/.f64 y (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) (neg.f64 y)))
(neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64))) z) y))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))))
(exp.f64 (log.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) (cbrt.f64 (/.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(*.f64 (cbrt.f64 (*.f64 t #s(literal 1/324 binary64))) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z))
(*.f64 (cbrt.f64 (*.f64 t #s(literal 1/324 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (/.f64 (sqrt.f64 t) z) #s(literal 1/18 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 t) (sqrt.f64 z)) (/.f64 #s(literal 1/18 binary64) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 t) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1/18 binary64) (sqrt.f64 z)) (/.f64 (sqrt.f64 t) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 t) #s(literal 1 binary64)) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (sqrt.f64 t) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1/18 binary64) (cbrt.f64 z)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 t #s(literal 1/324 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z))
(*.f64 (/.f64 (cbrt.f64 (*.f64 t #s(literal 1/324 binary64))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 t #s(literal 1/324 binary64))) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (cbrt.f64 z)))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z))
(sqrt.f64 (/.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) #s(literal 1 binary64)))

simplify996.0ms (6.6%)

Algorithm
egg-herbie
Rules
588×associate-*l*
537×exp-prod
471×times-frac
457×fma-neg
378×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083469080
1203865832
2714465808
Stop Event
node limit
Counts
1151 → 482
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (cbrt.f64 z)))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 z)))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z))
(sqrt.f64 (/.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 z #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))))
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(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) (cbrt.f64 z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) #s(literal 3 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) #s(literal 2 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(pow.f64 (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)) #s(literal -1 binary64))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(neg.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (neg.f64 z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(neg.f64 (/.f64 (*.f64 (sqrt.f64 t) #s(literal -1/18 binary64)) z))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(sqrt.f64 (/.f64 (*.f64 t #s(literal 1/324 binary64)) (pow.f64 z #s(literal 2 binary64))))
(sqrt.f64 (*.f64 t (/.f64 #s(literal 1/324 binary64) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/18 binary64)) (/.f64 (sqrt.f64 t) z)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(exp.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) z))
(*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))

eval79.0ms (0.5%)

Compiler

Compiled 13480 to 2764 computations (79.5% saved)

prune151.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New5182520
Fresh000
Picked112
Done112
Total5204524
Accuracy
100.0%
Counts
524 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #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 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64)))
100.0%
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 83 to 66 computations (20.5% saved)

simplify494.0ms (3.3%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))
cost-diff0
(acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))
cost-diff0
(+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64))
cost-diff256
(+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
cost-diff0
(asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))
cost-diff0
(PI.f64)
cost-diff0
(*.f64 (PI.f64) #s(literal 1/2 binary64))
cost-diff256
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64))
Rules
915×unsub-neg
904×associate--l-
639×fma-define
505×fma-neg
444×distribute-neg-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033727
161711
2124689
3290683
4701679
51772679
63029679
74421679
85524679
96208679
106576679
116721679
126841679
136863679
146869679
157072679
167298679
177380679
187406679
197417679
207417679
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64)))
#s(literal 1/3 binary64)
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))))
(+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))
(/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))
(/.f64 x y)
x
y
(/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))
(/.f64 z #s(literal 1/18 binary64))
z
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(*.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64))
(acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))
(/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))
(/.f64 x y)
x
y
(/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))
(/.f64 z #s(literal 1/18 binary64))
z
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 1 binary64)
#s(literal 1/3 binary64)
#s(literal -1/3 binary64)
Outputs
(*.f64 #s(literal 1/3 binary64) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (*.f64 (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))) (sqrt.f64 t)))) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 1 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))))))) #s(literal -1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64)))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (asin.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y (/.f64 z #s(literal 1/18 binary64)))))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))) y))) #s(literal -1/3 binary64)))
(fma.f64 (PI.f64) #s(literal 1/6 binary64) (*.f64 (asin.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal -1/3 binary64)))
#s(literal 1/3 binary64)
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (*.f64 (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))) (sqrt.f64 t)))) #s(literal -1 binary64))
(+.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 1 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64)))))) #s(literal -1 binary64))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y (/.f64 z #s(literal 1/18 binary64)))))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))) y))))
(-.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (asin.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (*.f64 (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))) (sqrt.f64 t))))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 1 binary64)) (asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))))))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 1 binary64)) (asin.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))))))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 1 binary64)) (asin.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y (/.f64 z #s(literal 1/18 binary64)))))))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 1 binary64)) (asin.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))) y))))
(-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 1 binary64)) (asin.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))))
(-.f64 #s(literal 1 binary64) (fma.f64 (PI.f64) #s(literal -1/2 binary64) (asin.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y))))))
(+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
(fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
#s(literal 1/2 binary64)
(asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))
(asin.f64 (*.f64 (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))) (sqrt.f64 t)))
(asin.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64)))))
(asin.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64)))))
(asin.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y (/.f64 z #s(literal 1/18 binary64))))))
(asin.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))) y)))
(asin.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y))))
(/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))))
(*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))))
(*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y (/.f64 z #s(literal 1/18 binary64)))))
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))) y))
(*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 x y)
x
y
(/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))
(/.f64 z (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 z #s(literal 1/18 binary64))
z
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
(+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))) (sqrt.f64 t)))) #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 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64)))))) #s(literal -1/3 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y (/.f64 z #s(literal 1/18 binary64)))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))) y))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))) (sqrt.f64 t)))))
(+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))))) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y (/.f64 z #s(literal 1/18 binary64)))))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))) y))) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1/3 binary64))
(+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))) (sqrt.f64 t))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y (/.f64 z #s(literal 1/18 binary64)))))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))) y))))
(+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))))
(acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))
(acos.f64 (*.f64 (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))) (sqrt.f64 t)))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64)))))
(acos.f64 (*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64)))))
(acos.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y (/.f64 z #s(literal 1/18 binary64))))))
(acos.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))) y)))
(acos.f64 (*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y))))
(/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))
(*.f64 (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))) (sqrt.f64 t))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) (/.f64 z #s(literal 1/18 binary64))))
(*.f64 (/.f64 x y) (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))))
(*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y (/.f64 z #s(literal 1/18 binary64)))))
(*.f64 x (/.f64 (/.f64 (sqrt.f64 t) (/.f64 z #s(literal 1/18 binary64))) y))
(*.f64 x (*.f64 (/.f64 (sqrt.f64 t) z) (/.f64 #s(literal 1/18 binary64) y)))
(/.f64 x y)
x
y
(/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))
(/.f64 z (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(/.f64 z #s(literal 1/18 binary64))
z
#s(literal 1/18 binary64)
(sqrt.f64 t)
t
#s(literal 1 binary64)
#s(literal 1/3 binary64)
#s(literal -1/3 binary64)

localize214.0ms (1.4%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
accuracy99.6%
(/.f64 z #s(literal 1/18 binary64))
accuracy99.3%
(/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))
accuracy93.1%
(/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))
accuracy99.3%
(/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))
accuracy98.7%
(*.f64 #s(literal 1/3 binary64) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64)))
accuracy93.1%
(/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))
accuracy87.1%
(PI.f64)
Results
69.0ms222×0valid
59.0ms34×5exit
Compiler

Compiled 202 to 26 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
...c/correct-round.rkt:121:19: 19.0ms (27.2% of total)
ival-div: 11.0ms (15.7% of total)
backward-pass: 9.0ms (12.9% of total)
ival-mult: 8.0ms (11.4% of total)
ival-add: 7.0ms (10% of total)
ival-sub: 4.0ms (5.7% of total)
ival-acos: 4.0ms (5.7% of total)
ival-asin: 3.0ms (4.3% of total)
ival-sqrt: 2.0ms (2.9% of total)
const: 1.0ms (1.4% of total)
ival-pi: 1.0ms (1.4% of total)

series109.0ms (0.7%)

Counts
12 → 420
Calls
Call 1
Inputs
#<alt (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64))>
#<alt (*.f64 (PI.f64) #s(literal 1/2 binary64))>
#<alt (PI.f64)>
#<alt (asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))>
#<alt (+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))>
#<alt (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64))>
#<alt (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))>
#<alt (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))>
#<alt (*.f64 #s(literal 1/3 binary64) (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64)))>
#<alt (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))>
#<alt (/.f64 z #s(literal 1/18 binary64))>
#<alt (*.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1/3 binary64))>
Outputs
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.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 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.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 (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
#<alt (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))>
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Calls

105 calls:

TimeVariablePointExpression
60.0ms
t
@0
(/ (/ z 1/18) (sqrt t))
5.0ms
t
@inf
(+ (* (+ (acos (/ (/ x y) (/ (/ z 1/18) (sqrt t)))) 1) 1/3) -1/3)
1.0ms
z
@0
(/ (/ z 1/18) (sqrt t))
1.0ms
t
@-inf
(/ (/ z 1/18) (sqrt t))
1.0ms
x
@inf
(* 1/3 (- (- (+ 1 (* (PI) 1/2)) (asin (/ (/ x y) (/ (/ z 1/18) (sqrt t))))) 1))

rewrite372.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
415×log1p-expm1-u
234×expm1-log1p-u
228×add-exp-log
228×add-log-exp
228×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033499
1508431
27727431
Stop Event
node limit
Counts
12 → 463
Calls
Call 1
Inputs
(-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) (asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI.f64)
(asin.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))
(+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 binary64))
(+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64))
(acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))
(/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 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 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64)))
(/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))
(/.f64 z #s(literal 1/18 binary64))
(*.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1/3 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (+.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (asin.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal -1 binary64)))
(+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (neg.f64 (asin.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal -1 binary64))
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simplify649.0ms (4.3%)

Algorithm
egg-herbie
Rules
760×fma-neg
447×exp-prod
374×associate-*r*
355×associate-*l*
278×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082453072
1183250978
2682150942
Stop Event
node limit
Counts
883 → 536
Calls
Call 1
Inputs
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(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
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(pow.f64 (sqrt.f64 (*.f64 z (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 z #s(literal -18 binary64)) (sqrt.f64 t)))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 324 binary64)) t))
(log.f64 (exp.f64 (*.f64 z (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z (/.f64 #s(literal 18 binary64) (sqrt.f64 t))))))
(cbrt.f64 (pow.f64 (*.f64 z (/.f64 #s(literal 18 binary64) (sqrt.f64 t))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 z (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))))
(log1p.f64 (expm1.f64 (*.f64 z (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))))
(exp.f64 (log.f64 (*.f64 z (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 18 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 18 binary64)))
(*.f64 z #s(literal 18 binary64))
(*.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 z #s(literal 18 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 18 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 18 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 18 binary64))))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 18 binary64)))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 18 binary64))) (sqrt.f64 (*.f64 z #s(literal 18 binary64))))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 1/18 binary64)))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 18 binary64)))
(*.f64 (neg.f64 z) #s(literal -18 binary64))
(*.f64 #s(literal 18 binary64) z)
(pow.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 18 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 18 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal -1 binary64))
(neg.f64 (*.f64 z #s(literal -18 binary64)))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 324 binary64)))
(log.f64 (exp.f64 (*.f64 z #s(literal 18 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 18 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 18 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 18 binary64))))
(exp.f64 (log.f64 (*.f64 z #s(literal 18 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 18 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))
(+.f64 (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (+.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal -1 binary64)))
(pow.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))))
(exp.f64 (+.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) (log.f64 #s(literal 1/3 binary64))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) (log.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
Outputs
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z)))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (PI.f64)) (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))))
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(exp.f64 (log.f64 (*.f64 z (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))))
(*.f64 z (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)))
(*.f64 z (/.f64 #s(literal 18 binary64) (sqrt.f64 t)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 z #s(literal 18 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 18 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 z #s(literal 18 binary64)))
(*.f64 z #s(literal 18 binary64))
(*.f64 z #s(literal 18 binary64))
(*.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))
(*.f64 z #s(literal 18 binary64))
(*.f64 (cbrt.f64 (*.f64 z #s(literal 18 binary64))) (pow.f64 (cbrt.f64 (*.f64 z #s(literal 18 binary64))) #s(literal 2 binary64)))
(*.f64 z #s(literal 18 binary64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 z #s(literal 18 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 z #s(literal 18 binary64))))
(*.f64 z #s(literal 18 binary64))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 1/18 binary64)))
(/.f64 z #s(literal 1/18 binary64))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (*.f64 (cbrt.f64 z) #s(literal 18 binary64)))
(*.f64 z #s(literal 18 binary64))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 18 binary64))) (sqrt.f64 (*.f64 z #s(literal 18 binary64))))
(*.f64 z #s(literal 18 binary64))
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 z) #s(literal 1/18 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (/.f64 (cbrt.f64 z) #s(literal 1/18 binary64)))
(/.f64 z #s(literal 1/18 binary64))
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) #s(literal 18 binary64)))
(*.f64 z #s(literal 18 binary64))
(*.f64 (neg.f64 z) #s(literal -18 binary64))
(*.f64 z #s(literal 18 binary64))
(*.f64 #s(literal 18 binary64) z)
(*.f64 z #s(literal 18 binary64))
(pow.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 1 binary64))
(*.f64 z #s(literal 18 binary64))
(pow.f64 (cbrt.f64 (*.f64 z #s(literal 18 binary64))) #s(literal 3 binary64))
(*.f64 z #s(literal 18 binary64))
(pow.f64 (pow.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 z #s(literal 18 binary64))
(pow.f64 (sqrt.f64 (*.f64 z #s(literal 18 binary64))) #s(literal 2 binary64))
(*.f64 z #s(literal 18 binary64))
(pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal -1 binary64))
(*.f64 z #s(literal 18 binary64))
(neg.f64 (*.f64 z #s(literal -18 binary64)))
(*.f64 z #s(literal 18 binary64))
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 324 binary64)))
(log.f64 (exp.f64 (*.f64 z #s(literal 18 binary64))))
(*.f64 z #s(literal 18 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 z #s(literal 18 binary64)))))
(*.f64 z #s(literal 18 binary64))
(cbrt.f64 (pow.f64 (*.f64 z #s(literal 18 binary64)) #s(literal 3 binary64)))
(*.f64 z #s(literal 18 binary64))
(expm1.f64 (log1p.f64 (*.f64 z #s(literal 18 binary64))))
(log1p.f64 (expm1.f64 (*.f64 z #s(literal 18 binary64))))
(*.f64 z #s(literal 18 binary64))
(exp.f64 (log.f64 (*.f64 z #s(literal 18 binary64))))
(*.f64 z #s(literal 18 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 18 binary64))) #s(literal 1 binary64)))
(*.f64 z #s(literal 18 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1/3 binary64))
(+.f64 (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1/3 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1/3 binary64))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))))))
(/.f64 (*.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 #s(literal -1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (+.f64 #s(literal -1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) #s(literal 1/3 binary64)) (+.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (+.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (+.f64 #s(literal -1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))
(/.f64 (fma.f64 #s(literal 1/3 binary64) (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 2 binary64)) #s(literal -1/3 binary64)) (+.f64 #s(literal -1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))))
(pow.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 3 binary64)) #s(literal 1/27 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1/3 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))))))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1/3 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64))))))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))) #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))) #s(literal 3 binary64)) #s(literal 1/27 binary64)))
(expm1.f64 (log1p.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))))
(expm1.f64 (log1p.f64 (fma.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64) #s(literal 1/3 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1/3 binary64))))
(log1p.f64 (expm1.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z)))) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1/3 binary64))
(exp.f64 (+.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) (log.f64 #s(literal 1/3 binary64))))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1/3 binary64))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x y) (*.f64 (sqrt.f64 t) (/.f64 #s(literal 1/18 binary64) z))))) (log.f64 #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x y) z))))))
(fma.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z))))) #s(literal 1/3 binary64))

eval111.0ms (0.7%)

Compiler

Compiled 19044 to 3164 computations (83.4% saved)

prune110.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New6931694
Fresh000
Picked112
Done112
Total6953698
Accuracy
100.0%
Counts
698 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 (+.f64 (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)) #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 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64)))
98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Compiler

Compiled 218 to 121 computations (44.5% saved)

regimes45.0ms (0.3%)

Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (-.f64 (+.f64 (acos.f64 (*.f64 (/.f64 x y) (/.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) z))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 (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)) #s(literal -1/3 binary64))
(+.f64 (*.f64 (+.f64 (acos.f64 (/.f64 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t)))) #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 (/.f64 x y) (/.f64 (/.f64 z #s(literal 1/18 binary64)) (sqrt.f64 t))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (/.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))) z) y)) #s(literal 3 binary64))))
Outputs
(+.f64 (*.f64 (+.f64 (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)) #s(literal -1/3 binary64))
Calls

13 calls:

5.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
4.0ms
x
3.0ms
(*.f64 z #s(literal 2 binary64))
3.0ms
(sqrt.f64 t)
3.0ms
(*.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)

regimes8.0ms (0.1%)

Accuracy

Total -0.3b remaining (-27%)

Threshold costs -0.3b (-27%)

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

5 calls:

1.0ms
(sqrt.f64 t)
1.0ms
z
1.0ms
t
1.0ms
y
1.0ms
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)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
029114
142114
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 (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)) #s(literal -1/3 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 x y) z) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 1 binary64)) #s(literal 1/3 binary64)) #s(literal -1/3 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 (/.f64 (/.f64 x y) z) #s(literal 1/18 binary64)))))

soundness830.0ms (5.5%)

Rules
833×log1p-expm1-u
832×expm1-log1p-u
825×log1p-expm1-u
782×log1p-expm1-u
782×expm1-log1p-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033499
1508431
27727431
01001040
1292920
2999824
33700824
44379824
55515824
67072824
027414
1323414
23614414
032521
1488521
26095521
021187
1249187
23308187
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 466 to 186 computations (60.1% saved)

preprocess47.0ms (0.3%)

Compiler

Compiled 240 to 178 computations (25.8% saved)

end0.0ms (0%)

Profiling

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