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

Time bar (total: 12.3s)

analyze428.0ms (3.5%)

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

Compiled 24 to 19 computations (20.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-mult: 97.0ms (46.1% of total)
ival-div: 63.0ms (30% of total)
ival-sqrt: 22.0ms (10.5% of total)
ival-acos: 20.0ms (9.5% of total)
const: 7.0ms (3.3% of total)
backward-pass: 1.0ms (0.5% of total)

sample5.8s (46.8%)

Results
2.3s16001×0invalid
1.8s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.6s
ival-mult: 1.2s (44.5% of total)
ival-div: 691.0ms (26.1% of total)
ival-sqrt: 434.0ms (16.4% of total)
ival-acos: 278.0ms (10.5% of total)
const: 61.0ms (2.3% of total)
backward-pass: 6.0ms (0.2% of total)
Bogosity

preprocess158.0ms (1.3%)

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)

explain279.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-4(-2.926995733630166e-181 4.221731352304889e+60 3.0442486223256793e+75 4.363333032871618e+283)(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
150-2(1.6267938921543781e-251 -9.850142861479107e+69 -8.20432283010082e-25 1.882448275559086e+131)(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
00-0-x
00-0-(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
00-0-(sqrt.f64 t)
00-0-(*.f64 z #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
00-0-z
00-0-(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
00-0-#s(literal 27 binary64)
00-0-(/.f64 x (*.f64 y #s(literal 27 binary64)))
00-0-y
00-0-(*.f64 y #s(literal 27 binary64))
01(8.92278807368921e-280 1.3460181212026333e+43 8.416173028883203e+275 1.4183075168338304e+224)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
188.0ms512×0valid
Compiler

Compiled 213 to 56 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-mult: 119.0ms (84.1% of total)
ival-div: 12.0ms (8.5% of total)
ival-acos: 5.0ms (3.5% of total)
ival-sqrt: 4.0ms (2.8% of total)
const: 1.0ms (0.7% 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

localize118.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
accuracy95.0%
(/.f64 (/.f64 x y) z)
accuracy94.2%
(*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))
Results
102.0ms256×0valid
Compiler

Compiled 62 to 14 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
...c/correct-round.rkt:121:19: 7.0ms (32.8% of total)
ival-mult: 5.0ms (23.4% of total)
ival-div: 4.0ms (18.7% of total)
ival-sqrt: 2.0ms (9.4% of total)
ival-acos: 2.0ms (9.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series75.0ms (0.6%)

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 (*.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
43.0ms
t
@0
(* (* 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))

rewrite347.0ms (2.8%)

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)))

simplify388.0ms (3.1%)

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))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.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 (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))

eval53.0ms (0.4%)

Compiler

Compiled 4582 to 926 computations (79.8% saved)

prune127.0ms (1%)

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
98.4%
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
99.4%
(*.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 58 to 46 computations (20.7% saved)

simplify22.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))
cost-diff0
(sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))
cost-diff0
(log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))
cost-diff0
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
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
34×associate-*r/
31×*-commutative
27×associate-*l/
27×associate-*r*
27×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035759
157759
2114759
3194759
4253759
5261759
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
#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 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))
(sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))
(cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))
(exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(sqrt.f64 t)
t
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(/.f64 x y)
x
y
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z
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) (/.f64 (sqrt.f64 t) y)) z))))
#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) (/.f64 (sqrt.f64 t) y)) z)))
(pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))
(pow.f64 (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z))) #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) (/.f64 (sqrt.f64 t) y)) z)))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z))
(/.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 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z))))))))
#s(literal 2 binary64)
(log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))
(log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))))
(log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z)))))))
(sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))
(sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))))
(sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z))))))
(cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))
(cbrt.f64 (exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t))))))
(cbrt.f64 (exp.f64 (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z)))))
(exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))
(exp.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))))
(exp.f64 (acos.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z))))
(acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))
(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) (/.f64 (sqrt.f64 t) y)) z)))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 x (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (sqrt.f64 t) y)) z))
(sqrt.f64 t)
t
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
(*.f64 (/.f64 x (*.f64 y z)) #s(literal 1/18 binary64))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 x y)
x
y
(/.f64 #s(literal 1/18 binary64) z)
#s(literal 1/18 binary64)
z

localize171.0ms (1.4%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy98.5%
(cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))
accuracy98.4%
(log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))
accuracy95.0%
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
accuracy94.2%
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) 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))
accuracy94.4%
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
accuracy91.3%
(/.f64 x (*.f64 y z))
Results
135.0ms256×0valid
Compiler

Compiled 203 to 28 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 98.0ms
...c/correct-round.rkt:121:19: 54.0ms (55% of total)
ival-mult: 14.0ms (14.3% of total)
ival-div: 6.0ms (6.1% of total)
ival-acos: 5.0ms (5.1% of total)
ival-log: 5.0ms (5.1% of total)
ival-sqrt: 4.0ms (4.1% of total)
ival-pow: 4.0ms (4.1% of total)
ival-exp: 3.0ms (3.1% of total)
ival-cbrt: 3.0ms (3.1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series921.0ms (7.5%)

Counts
12 → 516
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 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))>
#<alt (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))>
#<alt (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))>
#<alt (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))>
#<alt (/.f64 x (*.f64 y z))>
#<alt (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))>
#<alt (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))>
#<alt (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) 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))))))>
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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 (*.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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal -1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
Calls

138 calls:

TimeVariablePointExpression
209.0ms
x
@-inf
(* 2 (log (sqrt (cbrt (exp (acos (* (sqrt t) (* (/ x y) (/ 1/18 z)))))))))
148.0ms
t
@inf
(* 2 (log (sqrt (cbrt (exp (acos (* (sqrt t) (* (/ x y) (/ 1/18 z)))))))))
84.0ms
z
@inf
(* 2 (log (sqrt (cbrt (exp (acos (* (sqrt t) (* (/ x y) (/ 1/18 z)))))))))
78.0ms
t
@-inf
(* 2 (log (sqrt (cbrt (exp (acos (* (sqrt t) (* (/ x y) (/ 1/18 z)))))))))
76.0ms
t
@0
(* 2 (log (sqrt (cbrt (exp (acos (* (sqrt t) (* (/ x y) (/ 1/18 z)))))))))

rewrite332.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
1017×log1p-expm1-u
228×associate-*r*
208×add-exp-log
207×expm1-log1p-u
206×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035546
1497540
26319540
Stop Event
node limit
Counts
12 → 400
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 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
(log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))))
(sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))
(cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))))))
(/.f64 x (*.f64 y z))
(*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))
(*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 2 binary64)) #s(literal 1/9 binary64)))
(log.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)) (neg.f64 (asin.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(+.f64 #s(literal 0 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))) (log.f64 (sqrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))))))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 x y) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64))
(/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))
(/.f64 x (*.f64 (*.f64 z #s(literal 18 binary64)) y))
(/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z x)))
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y x) z))
(/.f64 (/.f64 x y) (*.f64 z #s(literal 18 binary64)))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (*.f64 z #s(literal 18 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(/.f64 (neg.f64 x) (*.f64 (*.f64 z #s(literal 18 binary64)) (neg.f64 y)))
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 z) (/.f64 y x)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 18 binary64))))
(/.f64 (*.f64 x #s(literal -1/18 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1/18 binary64)) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 #s(literal -1/18 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) (*.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/18 binary64) z)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 y z))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y 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)) (cbrt.f64 (pow.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))
(/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(exp.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64)))

simplify943.0ms (7.6%)

Algorithm
egg-herbie
Rules
448×cube-prod
427×exp-prod
355×swap-sqr
332×associate-*r*
300×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068544282
1148343242
2464243220
Stop Event
node limit
Counts
916 → 442
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z)))))
(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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z)))))
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(cbrt.f64 (*.f64 (pow.f64 (/.f64 (/.f64 x 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 (/.f64 x y) z) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64))
(/.f64 x (*.f64 y (*.f64 z #s(literal 18 binary64))))
(/.f64 x (*.f64 (*.f64 z #s(literal 18 binary64)) y))
(/.f64 #s(literal 1/18 binary64) (*.f64 y (/.f64 z x)))
(/.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 y x) z))
(/.f64 (/.f64 x y) (*.f64 z #s(literal 18 binary64)))
(/.f64 (/.f64 #s(literal 1/18 binary64) z) (/.f64 y x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (*.f64 z #s(literal 18 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z #s(literal 18 binary64)) (/.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y z) (*.f64 x #s(literal 1/18 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(literal 1/18 binary64) (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)))
(/.f64 (*.f64 x #s(literal 1/18 binary64)) (*.f64 y z))
(/.f64 (neg.f64 x) (*.f64 (*.f64 z #s(literal 18 binary64)) (neg.f64 y)))
(/.f64 #s(literal -1/18 binary64) (*.f64 (/.f64 y x) (neg.f64 z)))
(/.f64 #s(literal -1/18 binary64) (*.f64 (neg.f64 z) (/.f64 y x)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) z)
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) y)
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 y) (*.f64 z #s(literal 18 binary64))))
(/.f64 (*.f64 x #s(literal -1/18 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/18 binary64)) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 x) #s(literal -1/18 binary64)) (*.f64 (neg.f64 y) (neg.f64 z)))
(/.f64 (*.f64 #s(literal 1/18 binary64) (neg.f64 x)) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 #s(literal -1/18 binary64) x) (*.f64 y (neg.f64 z)))
(/.f64 (*.f64 #s(literal -1/18 binary64) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1/18 binary64))) (*.f64 y (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y))) (neg.f64 z))
(/.f64 (neg.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z)) (neg.f64 y))
(/.f64 (*.f64 (/.f64 x y) #s(literal -1/18 binary64)) (neg.f64 z))
(/.f64 (*.f64 (/.f64 #s(literal 1/18 binary64) z) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1/18 binary64) z)) (neg.f64 y))
(/.f64 (*.f64 #s(literal -1/18 binary64) (/.f64 x y)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) #s(literal 1 binary64)) (*.f64 y z))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 y z)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y 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)) (cbrt.f64 (pow.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))
(/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) #s(literal 1 binary64)) y)
(/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(exp.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) #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 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (/.f64 (sqrt.f64 t) (*.f64 y z)) x))))
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(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) (sqrt.f64 (*.f64 y z))) (sqrt.f64 (*.f64 y z)))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) #s(literal 1 binary64)) z)
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(/.f64 (/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))) (cbrt.f64 z))
(/.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x y)) (*.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 (/.f64 x y) (cbrt.f64 z)) (cbrt.f64 (pow.f64 z #s(literal 2 binary64)))))
(*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) (*.f64 (cbrt.f64 (pow.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))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) #s(literal 1 binary64)) y)
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(/.f64 (/.f64 (/.f64 (*.f64 x #s(literal 1/18 binary64)) z) (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(pow.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(pow.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(log.f64 (pow.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal 1/18 binary64) z)))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)))))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 3 binary64))))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/18 binary64) z) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 x z) (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64)))
(*.f64 x (/.f64 #s(literal 1/18 binary64) (*.f64 y z)))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))

eval68.0ms (0.6%)

Compiler

Compiled 10284 to 2286 computations (77.8% saved)

prune249.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4411442
Fresh000
Picked112
Done011
Total4423445
Accuracy
100.0%
Counts
445 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))))
99.4%
(*.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)

simplify184.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))
cost-diff0
(log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
cost-diff12800
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))))
cost-diff12800
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))))
Rules
2427×associate-+r-
782×fma-define
772×distribute-lft-in
379×sub-neg
357×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023338
137338
266332
3144314
4252314
5320314
6485314
7865314
81541314
91906314
102176314
112377314
122393314
132393314
143297314
153649314
164186314
174840314
184900314
194900314
204900314
214900314
224900314
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))))
#s(literal 1/3 binary64)
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))))
(log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))
(sqrt.f64 t)
t
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(/.f64 x (*.f64 y #s(literal 18 binary64)))
x
(*.f64 y #s(literal 18 binary64))
y
#s(literal 18 binary64)
z
Outputs
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))))
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z (*.f64 y #s(literal 18 binary64)))))))))
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))))))
(*.f64 #s(literal 1/3 binary64) (+.f64 (acos.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y #s(literal 18 binary64))) z)) #s(literal 0 binary64)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64)))) z)))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y (*.f64 #s(literal 18 binary64) z))))))
#s(literal 1/3 binary64)
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z (*.f64 y #s(literal 18 binary64))))))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))))))
(+.f64 (acos.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y #s(literal 18 binary64))) z)) #s(literal 0 binary64))
(acos.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64)))) z))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y (*.f64 #s(literal 18 binary64) z)))))
(log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z (*.f64 y #s(literal 18 binary64)))))))
(log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))))
(log1p.f64 (acos.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y #s(literal 18 binary64))) z)))
(log1p.f64 (acos.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64)))) z)))
(log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y (*.f64 #s(literal 18 binary64) z))))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z (*.f64 y #s(literal 18 binary64))))))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))))))
(+.f64 (acos.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y #s(literal 18 binary64))) z)) #s(literal 0 binary64))
(acos.f64 (/.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64)))) z))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y (*.f64 #s(literal 18 binary64) z)))))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))
(*.f64 (sqrt.f64 t) (/.f64 x (*.f64 z (*.f64 y #s(literal 18 binary64)))))
(*.f64 (sqrt.f64 t) (/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z)))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 y #s(literal 18 binary64))) z)
(/.f64 (*.f64 x (/.f64 (sqrt.f64 t) (*.f64 y #s(literal 18 binary64)))) z)
(*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y (*.f64 #s(literal 18 binary64) z))))
(sqrt.f64 t)
t
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(/.f64 x (*.f64 z (*.f64 y #s(literal 18 binary64))))
(/.f64 x (*.f64 (*.f64 y #s(literal 18 binary64)) z))
(/.f64 x (*.f64 y (*.f64 #s(literal 18 binary64) z)))
(/.f64 x (*.f64 y #s(literal 18 binary64)))
x
(*.f64 y #s(literal 18 binary64))
y
#s(literal 18 binary64)
z

localize110.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(/.f64 x (*.f64 y #s(literal 18 binary64)))
accuracy98.5%
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))))
accuracy95.1%
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
accuracy94.2%
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))
Results
42.0ms256×0valid
Compiler

Compiled 89 to 16 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 5.0ms (20.7% of total)
ival-div: 4.0ms (16.5% of total)
...c/correct-round.rkt:121:19: 4.0ms (16.5% of total)
ival-expm1: 3.0ms (12.4% of total)
ival-log1p: 3.0ms (12.4% of total)
ival-acos: 2.0ms (8.3% of total)
ival-sqrt: 2.0ms (8.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series475.0ms (3.9%)

Counts
7 → 300
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))))>
#<alt (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))))>
#<alt (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))>
#<alt (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))>
#<alt (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))>
#<alt (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)>
#<alt (/.f64 x (*.f64 y #s(literal 18 binary64)))>
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 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 (*.f64 x (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<alt (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))>
#<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 (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))>
#<alt (*.f64 #s(literal 1/18 binary64) (*.f64 (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 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x (*.f64 y z)))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
#<alt (*.f64 #s(literal 1/18 binary64) (/.f64 x y))>
Calls

75 calls:

TimeVariablePointExpression
150.0ms
t
@0
(log (+ 1 (acos (* (sqrt t) (/ (/ x (* y 18)) z)))))
82.0ms
y
@inf
(log (+ 1 (acos (* (sqrt t) (/ (/ x (* y 18)) z)))))
49.0ms
x
@inf
(log (+ 1 (acos (* (sqrt t) (/ (/ x (* y 18)) z)))))
41.0ms
z
@inf
(log (+ 1 (acos (* (sqrt t) (/ (/ x (* y 18)) z)))))
25.0ms
x
@-inf
(log (+ 1 (acos (* (sqrt t) (/ (/ x (* y 18)) z)))))

rewrite297.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
872×log1p-expm1-u
871×expm1-log1p-u
768×log-prod
235×expm1-undefine
235×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023278
1271278
23603278
Stop Event
node limit
Counts
7 → 248
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))))
(expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))))
(log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))
(acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)))
(*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))
(/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z)
(/.f64 x (*.f64 y #s(literal 18 binary64)))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/3 binary64)) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
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(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 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(fma.f64 (sqrt.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))) #s(literal -1 binary64))
(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 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 t) (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))) (neg.f64 z))
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 (*.f64 y #s(literal 18 binary64)) z))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y #s(literal -18 binary64)))) (neg.f64 z))
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y #s(literal 18 binary64)) z))
(/.f64 (*.f64 (/.f64 x (*.f64 y #s(literal -18 binary64))) (sqrt.f64 t)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64))))
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(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) (cbrt.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 18 binary64)) z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (*.f64 (*.f64 y #s(literal 18 binary64)) z)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) (sqrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (/.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (*.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y #s(literal 18 binary64)) z)))
(*.f64 (/.f64 x (*.f64 y #s(literal -18 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (cbrt.f64 z)))
(pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 2 binary64))
(pow.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 x (*.f64 y #s(literal -18 binary64))) z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 18 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 18 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -18 binary64))))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/18 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) #s(literal 18 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 18 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 324 binary64)))) (/.f64 x (cbrt.f64 (*.f64 y #s(literal 18 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y #s(literal 18 binary64)))) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 18 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) #s(literal 18 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 18 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 324 binary64)))) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 18 binary64)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 18 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 18 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 324 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y #s(literal 18 binary64)))))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal 18 binary64)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (*.f64 y #s(literal -18 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x (*.f64 y #s(literal -18 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 18 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64)))

simplify290.0ms (2.4%)

Algorithm
egg-herbie
Rules
367×cube-prod
330×distribute-lft-neg-in
313×exp-prod
305×distribute-rgt-neg-in
261×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050224956
1104424536
2370124284
Stop Event
node limit
Counts
548 → 304
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))))))
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(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))))
(/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z)
(/.f64 (neg.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))) (neg.f64 z))
(/.f64 (*.f64 (sqrt.f64 t) x) (*.f64 (*.f64 y #s(literal 18 binary64)) z))
(/.f64 (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y #s(literal -18 binary64)))) (neg.f64 z))
(/.f64 (*.f64 x (sqrt.f64 t)) (*.f64 (*.f64 y #s(literal 18 binary64)) z))
(/.f64 (*.f64 (/.f64 x (*.f64 y #s(literal -18 binary64))) (sqrt.f64 t)) (neg.f64 z))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64)) z)
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 t (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 t)) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) (cbrt.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))) #s(literal 1 binary64))
(*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 18 binary64)) z)))
(*.f64 x (*.f64 (/.f64 #s(literal 1/18 binary64) y) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (*.f64 (*.f64 y #s(literal 18 binary64)) z)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) (sqrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (/.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (*.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 (*.f64 y #s(literal 18 binary64)) z)))
(*.f64 (/.f64 x (*.f64 y #s(literal -18 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) z) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (cbrt.f64 z)))
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 #s(literal 1/18 binary64) y) (sqrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) z))
(*.f64 (/.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (cbrt.f64 z)))
(pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 2 binary64))
(pow.f64 (*.f64 z (/.f64 (*.f64 y #s(literal 18 binary64)) x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) (neg.f64 z)))
(neg.f64 (/.f64 (/.f64 x (*.f64 y #s(literal -18 binary64))) z))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(exp.f64 (log.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) y) z))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y))) (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1/18 binary64) y))
(*.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 18 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 18 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/18 binary64) y)))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -18 binary64))))
(*.f64 (/.f64 #s(literal 1/18 binary64) y) x)
(*.f64 (/.f64 x y) #s(literal 1/18 binary64))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 18 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) #s(literal 18 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x #s(literal 18 binary64)))
(*.f64 #s(literal 1/18 binary64) (/.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 324 binary64)))) (/.f64 x (cbrt.f64 (*.f64 y #s(literal 18 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y #s(literal 18 binary64)))) (/.f64 x (sqrt.f64 (*.f64 y #s(literal 18 binary64)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) y) (/.f64 (cbrt.f64 x) #s(literal 18 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 18 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 324 binary64)))) (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (*.f64 y #s(literal 18 binary64)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (*.f64 y #s(literal 18 binary64)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 18 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 324 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y #s(literal 18 binary64)))))
(pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 y #s(literal 18 binary64)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (*.f64 y #s(literal -18 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (/.f64 #s(literal 1/18 binary64) y)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 x (*.f64 y #s(literal -18 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(literal 18 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(log1p.f64 (expm1.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(exp.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (/.f64 #s(literal 1/18 binary64) y))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 x (/.f64 (/.f64 #s(literal 1/18 binary64) z) y)))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 t) (/.f64 x (*.f64 y z))))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)) (/.f64 x (*.f64 y z)))))
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eval52.0ms (0.4%)

Compiler

Compiled 7428 to 1720 computations (76.8% saved)

prune51.0ms (0.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3040304
Fresh000
Picked011
Done022
Total3043307
Accuracy
100.0%
Counts
307 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(*.f64 #s(literal 1/3 binary64) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))))
99.4%
(*.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 140 to 96 computations (31.4% saved)

regimes35.0ms (0.3%)

Counts
5 → 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 (/.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) (expm1.f64 (log1p.f64 (acos.f64 (*.f64 (sqrt.f64 t) (/.f64 (/.f64 x (*.f64 y #s(literal 18 binary64))) z))))))
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 (/.f64 x y) (/.f64 #s(literal 1/18 binary64) z)))))))))
Outputs
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
Calls

13 calls:

6.0ms
(*.f64 y #s(literal 27 binary64))
3.0ms
z
2.0ms
(sqrt.f64 t)
2.0ms
(/.f64 x (*.f64 y #s(literal 27 binary64)))
2.0ms
(*.f64 z #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1y
99.4%1z
99.4%1t
99.4%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
99.4%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
99.4%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
99.4%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
99.4%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
99.4%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
99.4%1(*.f64 y #s(literal 27 binary64))
99.4%1(*.f64 z #s(literal 2 binary64))
99.4%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

regimes24.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0.8%)

Threshold costs -0b (-0.8%)

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

13 calls:

2.0ms
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
2.0ms
(*.f64 y #s(literal 27 binary64))
2.0ms
(*.f64 z #s(literal 2 binary64))
2.0ms
(sqrt.f64 t)
2.0ms
(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1y
98.5%1z
98.5%1t
98.5%1(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))))
98.5%1(acos.f64 (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t)))
98.5%1(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64))) (sqrt.f64 t))
98.5%1(/.f64 (*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64)))) (*.f64 z #s(literal 2 binary64)))
98.5%1(*.f64 #s(literal 3 binary64) (/.f64 x (*.f64 y #s(literal 27 binary64))))
98.5%1(/.f64 x (*.f64 y #s(literal 27 binary64)))
98.5%1(*.f64 y #s(literal 27 binary64))
98.5%1(*.f64 z #s(literal 2 binary64))
98.5%1(sqrt.f64 t)
Compiler

Compiled 135 to 108 computations (20% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030112
137112
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
Outputs
(*.f64 #s(literal 1/3 binary64) (cbrt.f64 (pow.f64 (acos.f64 (*.f64 (/.f64 x (*.f64 y z)) (*.f64 #s(literal 1/18 binary64) (sqrt.f64 t)))) #s(literal 3 binary64))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)) (sqrt.f64 t))))
(*.f64 #s(literal 1/3 binary64) (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 #s(literal 1/18 binary64) (/.f64 (/.f64 x y) z)))))

soundness292.0ms (2.4%)

Rules
782×log1p-expm1-u
782×expm1-log1p-u
712×log-prod
694×fma-define
449×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021187
1249187
23308187
01001040
1292920
2999824
33700824
44379824
55515824
67072824
Stop Event
done
node limit
node limit
Compiler

Compiled 168 to 69 computations (58.9% saved)

preprocess51.0ms (0.4%)

Remove

(sort y z)

Compiler

Compiled 234 to 176 computations (24.8% saved)

end0.0ms (0%)

Profiling

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